Geometry and spatial reasoning

Here is a list of all of the skills that cover geometry and spatial reasoning! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Here is a list of all of the skills that cover geometry and spatial reasoning! To start practicing, just click on any link.

Pre-K skills

  1. N.1
    Inside and outside
  2. N.2
    Left and right
  3. N.3
    Left, middle, and right
  4. N.4
    Top and bottom
  5. N.5
    Top, middle, and bottom
  6. N.6
    Above and below
  7. N.7
    Beside and next to
  8. P.1
    Name the shape
  9. P.2
    Circles
  10. P.3
    Triangles
  11. P.4
    Squares
  12. P.5
    Rectangles
  13. P.6
    Circles, squares, and triangles
  14. P.7
    Circles, squares, triangles, and rectangles
  15. P.8
    Sort flat shapes
  16. Q.1
    Count sides
  17. Q.2
    Count corners
  18. Q.3
    Count sides and corners
  19. R.1
    Flat and solid shapes
  20. R.2
    Name the solid shape
  21. R.3
    Spheres
  22. R.4
    Cubes
  23. R.5
    Cones
  24. R.6
    Cylinders
  25. R.7
    Select solid shapes
  26. R.8
    Identify shapes traced from solids
  27. S.1
    Shapes of everyday objects I
  28. S.2
    Shapes of everyday objects II

Kindergarten skills

  1. MM.1
    Inside and outside
  2. MM.2
    Above and below
  3. MM.3
    Beside and next to
  4. MM.4
    Left, middle, and right
  5. MM.5
    Top, middle, and bottom
  6. MM.6
    Location in a grid
  7. OO.1
    Circles
  8. OO.2
    Triangles
  9. OO.3
    Rectangles
  10. OO.4
    Squares
  11. OO.5
    Hexagons
  12. OO.6
    Select two-dimensional shapes
  13. OO.7
    Name the two-dimensional shape
  14. OO.8
    Sort circles
  15. OO.9
    Sort two-dimensional shapes
  16. OO.10
    Compose two-dimensional shapes
  17. PP.1
    Curved parts
  18. PP.2
    Count corners
  19. PP.3
    Square corners
  20. PP.4
    Count sides
  21. PP.5
    Equal sides
  22. PP.6
    Count sides and corners
  23. PP.7
    Compare sides and corners
  24. PP.
    New! Compare shapes using attributes
  25. QQ.1
    Flat and solid shapes
  26. QQ.2
    Spheres
  27. QQ.3
    Cubes
  28. QQ.4
    Cones
  29. QQ.5
    Cylinders
  30. QQ.6
    Select three-dimensional shapes
  31. QQ.7
    Name the three-dimensional shape
  32. QQ.8
    Identify shapes traced from solids
  33. RR.1
    Three-dimensional shapes of everyday objects I
  34. RR.2
    Three-dimensional shapes of everyday objects II
  35. RR.3
    Three-dimensional shapes - above and below
  36. RR.4
    Three-dimensional shapes - beside and next to
  37. TT.6
    Count shapes in a Venn diagram
  38. TT.7
    Sort shapes into a Venn diagram

First-grade skills

  1. KK.1
    Name the two-dimensional shape
  2. KK.2
    Select two-dimensional shapes
  3. KK.3
    Rhombuses
  4. KK.4
    Count sides and corners
  5. KK.5
    Compare sides and corners
  6. KK.
    New! Sort two-dimensional shapes
  7. KK.6
    Square corners
  8. KK.7
    Equal sides
  9. KK.8
    Open and closed shapes
  10. KK.9
    Compose two-dimensional shapes
  11. LL.1
    Two-dimensional and three-dimensional shapes
  12. LL.2
    Name the three-dimensional shape
  13. LL.3
    Cubes and rectangular prisms
  14. LL.4
    Select three-dimensional shapes
  15. LL.5
    Count vertices, edges, and faces
  16. LL.6
    Compare vertices, edges, and faces
  17. LL.7
    Identify shapes traced from solids
  18. LL.8
    Identify faces of three-dimensional shapes
  19. LL.9
    Shapes of everyday objects I
  20. LL.10
    Shapes of everyday objects II
  21. MM.1
    Count shapes in a Venn diagram
  22. MM.2
    Sort shapes into a Venn diagram

Second-grade skills

  1. II.1
    Identify quadrilaterals
  2. II.2
    Identify pentagons
  3. II.3
    Name polygons: up to 6 sides
  4. II.4
    Classify polygons: up to 6 sides
  5. II.5
    Name polygons: up to 12 sides
  6. II.6
    Classify polygons: up to 12 sides
  7. II.
    New! Sort two-dimensional shapes
  8. II.7
    Draw polygons
  9. II.8
    Compose two-dimensional shapes
  10. JJ.1
    Name the three-dimensional shape
  11. JJ.2
    Cubes
  12. JJ.3
    Select three-dimensional shapes
  13. JJ.4
    Count vertices, edges, and faces
  14. JJ.5
    Compare vertices, edges, and faces
  15. JJ.6
    Identify faces of three-dimensional shapes
  16. JJ.7
    Identify shapes traced from solids
  17. JJ.8
    Shapes of everyday objects I
  18. JJ.9
    Shapes of everyday objects II
  19. KK.1
    Tile a rectangle with squares
  20. KK.2
    Count the number of squares in a rectangle
  21. KK.3
    Area

Third-grade skills

  1. MM.1
    Find the area of figures made of unit squares
  2. MM.2
    Select figures with a given area
  3. MM.3
    Select two figures with the same area
  4. MM.4
    Tile a rectangle and find the area
  5. MM.5
    Multiply to find the area of a rectangle made of unit squares
  6. MM.6
    Create figures with a given area
  7. MM.7
    Create rectangles with a given area
  8. MM.
    New! Find the area of a tiled rectangle using the distributive property
  9. MM.8
    Find the area of rectangles and squares
  10. MM.9
    Find the missing side length of a rectangle
  11. MM.10
    Find the area of rectangles with missing unit squares
  12. MM.11
    Find the area of rectangles: word problems
  13. MM.
    New! Find the missing side length of a rectangle: word problems
  14. MM.12
    Find the area of complex figures by dividing them into rectangles
  15. MM.13
    Find the area of complex figures
  16. MM.14
    Find the area between two rectangles
  17. NN.1
    Perimeter of rectangles
  18. NN.2
    Perimeter of quadrilaterals
  19. NN.3
    Perimeter of rectilinear shapes
  20. NN.4
    Perimeter of polygons
  21. NN.5
    Perimeter: find the missing side length
  22. NN.6
    Perimeter: word problems
  23. NN.7
    Relationship between area and perimeter: find the perimeter
  24. NN.8
    Relationship between area and perimeter: find the area
  25. NN.
    New! Find the area, perimeter, or side length: word problems
  26. OO.1
    Lines, line segments, and rays
  27. OO.2
    Angles greater than, less than, or equal to a right angle
  28. OO.3
    Parallel, perpendicular, and intersecting lines
  29. PP.1
    Parallel sides in quadrilaterals
  30. PP.2
    Identify rectangles
  31. PP.3
    Identify parallelograms
  32. PP.4
    Identify rhombuses
  33. PP.5
    Identify trapezoids
  34. PP.6
    Classify quadrilaterals
  35. PP.7
    Draw quadrilaterals

Fourth-grade skills

  1. GG.1
    Perimeter of polygons
  2. GG.2
    Perimeter: find the missing side length
  3. GG.3
    Find the perimeter of rectangles using formulas
  4. GG.4
    Perimeter: word problems
  5. HH.1
    Create rectangles with a given area
  6. HH.2
    Find the area of rectangles using formulas
  7. HH.3
    Find the area or missing side length of a rectangle
  8. HH.4
    Area: word problems
  9. HH.5
    Area of complex figures
  10. HH.6
    Area between two rectangles
  11. HH.7
    Compare area and perimeter of rectangles and squares
  12. HH.8
    Relationship between area and perimeter
  13. HH.9
    Area and perimeter: word problems
  14. HH.10
    Rectangles: relationship between perimeter and area word problems
  15. HH.11
    Use area and perimeter to determine cost
  16. II.1
    Points, lines, line segments, rays, and angles
  17. II.2
    Parallel, perpendicular, and intersecting lines
  18. II.3
    Identify parallel, perpendicular, and intersecting lines
  19. JJ.1
    Acute, right, obtuse, and straight angles
  20. JJ.2
    Angles as fractions of a circle
  21. JJ.3
    Use fractions to find the measure of an angle
  22. JJ.4
    Angles of 90, 180, 270, and 360 degrees
  23. JJ.5
    Measure angles on a circle
  24. JJ.6
    Measure angles with a protractor
  25. JJ.7
    Draw angles with a protractor
  26. JJ.8
    Estimate angle measurements
  27. JJ.9
    Adjacent angles
  28. JJ.10
    Angle measures: word problems
  29. KK.1
    Acute, obtuse, and right triangles
  30. KK.2
    Scalene, isosceles, and equilateral triangles
  31. KK.3
    Classify triangles
  32. LL.1
    Parallel sides in quadrilaterals
  33. LL.2
    Sides and angles of quadrilaterals
  34. LL.3
    Identify parallelograms
  35. LL.4
    Identify trapezoids
  36. LL.5
    Identify rectangles
  37. LL.6
    Identify rhombuses
  38. LL.7
    Classify quadrilaterals
  39. LL.8
    Pick all the names for a quadrilateral
  40. LL.9
    Draw quadrilaterals
  41. MM.1
    Identify lines of symmetry
  42. MM.2
    Draw lines of symmetry
  43. MM.3
    Count lines of symmetry

Fifth-grade skills

  1. PP.1
    Acute, obtuse, and right triangles
  2. PP.2
    Scalene, isosceles, and equilateral triangles
  3. PP.3
    Classify triangles
  4. QQ.1
    Parallel sides in quadrilaterals
  5. QQ.2
    Identify parallelograms
  6. QQ.3
    Identify trapezoids
  7. QQ.4
    Identify rectangles
  8. QQ.5
    Identify rhombuses
  9. QQ.6
    Classify quadrilaterals
  10. QQ.7
    Draw quadrilaterals
  11. QQ.8
    Identify the relationships between quadrilaterals
  12. QQ.9
    Describe relationships among quadrilaterals
  13. RR.1
    Is it a polygon?
  14. RR.2
    Number of sides in polygons
  15. RR.3
    Regular and irregular polygons
  16. RR.4
    Sort polygons into Venn diagrams
  17. RR.5
    Properties of polygons
  18. SS.1
    Perimeter with whole number side lengths
  19. SS.2
    Perimeter with decimal side lengths
  20. SS.3
    Perimeter with fractional side lengths
  21. SS.4
    Perimeter of figures on grids
  22. TT.1
    Area of squares and rectangles
  23. TT.2
    Area of rectangles with fractions
  24. TT.3
    Area of rectangles with fractions and mixed numbers
  25. TT.4
    Area of compound figures
  26. TT.5
    Area between two rectangles
  27. TT.6
    Area of figures on grids
  28. TT.7
    Area and perimeter: word problems
  29. UU.1
    Volume of irregular figures made of unit cubes
  30. UU.
    New! Volume of rectangular prisms made of unit cubes: expressions
  31. UU.2
    Volume of rectangular prisms made of unit cubes
  32. UU.3
    Volume of rectangular prisms made of unit cubes: word problems
  33. UU.4
    Volume of cubes and rectangular prisms
  34. UU.5
    Volume of cubes and rectangular prisms: word problems
  35. UU.6
    Compare volumes and dimensions of rectangular prisms: word problems
  36. UU.7
    Volume of compound figures
  37. UU.8
    Volume of cubes and rectangular prisms with decimal side lengths

Sixth-grade skills

  1. R.5
    Reflect a point over an axis
  2. R.7
    Distance between two points
  3. R.9
    Area and perimeter of squares and rectangles on the coordinate plane
  4. DD.1
    Lines, line segments, and rays
  5. DD.2
    Measure and classify angles
  6. DD.3
    Estimate angle measurements
  7. DD.4
    Name angles
  8. DD.5
    Complementary and supplementary angles
  9. DD.6
    Identify complementary, supplementary, vertical, adjacent, and congruent angles
  10. DD.7
    Find measures of complementary, supplementary, vertical, and adjacent angles
  11. EE.1
    Identify and classify polygons
  12. EE.2
    Classify triangles
  13. EE.3
    Triangle inequality
  14. EE.4
    Identify trapezoids
  15. EE.5
    Classify quadrilaterals
  16. EE.6
    Graph triangles and quadrilaterals
  17. EE.7
    Find missing angles in triangles
  18. EE.8
    Find missing angles in special triangles
  19. EE.9
    Find missing angles in quadrilaterals
  20. EE.10
    Sums of angles in polygons
  21. EE.11
    Line symmetry
  22. FF.1
    Identify polyhedra
  23. FF.2
    Which figure is being described?
  24. FF.3
    Nets of three-dimensional figures
  25. FF.4
    Front, side, and top view
  26. GG.1
    Perimeter
  27. GG.2
    Area of rectangles and squares
  28. GG.3
    Understanding area of a parallelogram
  29. GG.4
    Area of parallelograms
  30. GG.5
    Understanding area of a triangle
  31. GG.6
    Area of triangles
  32. GG.7
    Understanding area of a trapezoid
  33. GG.8
    Area of trapezoids
  34. GG.9
    Area of rhombuses
  35. GG.10
    Area of quadrilaterals
  36. GG.11
    Area of compound figures
  37. GG.12
    Area of compound figures with triangles
  38. GG.13
    Area between two rectangles
  39. GG.14
    Area between two triangles
  40. GG.15
    Rectangles: relationship between perimeter and area
  41. GG.16
    Compare area and perimeter of two figures
  42. GG.17
    Area of quadrilaterals and triangles: word problems
  43. HH.1
    Volume of cubes and rectangular prisms
  44. HH.2
    Volume of cubes and rectangular prisms with fractional side lengths
  45. HH.3
    Volume of cubes and rectangular prisms: word problems
  46. HH.4
    Surface area of cubes and rectangular prisms
  47. HH.5
    Volume of triangular prisms
  48. HH.6
    Surface area of triangular prisms
  49. HH.7
    Surface area of pyramids
  50. HH.8
    Relate volume and surface area

Seventh-grade skills

  1. M.4
    Distance between two points
  2. Y.1
    Name, measure, and classify angles
  3. Y.2
    Lines, line segments, and rays
  4. Y.3
    Parallel, perpendicular, and intersecting lines
  5. Y.4
    Identify complementary, supplementary, vertical, and adjacent angles
  6. Y.5
    Find measures of complementary, supplementary, vertical, and adjacent angles
  7. Y.6
    Write and solve equations using angle relationships
  8. Y.7
    Identify alternate interior and alternate exterior angles
  9. Y.8
    Transversals of parallel lines: name angle pairs
  10. Y.9
    Transversals of parallel lines: find angle measures
  11. Y.10
    Find lengths and measures of bisected line segments and angles
  12. Z.1
    Identify and classify polygons
  13. Z.2
    Classify triangles
  14. Z.3
    Triangle inequality
  15. Z.4
    Identify trapezoids
  16. Z.5
    Classify quadrilaterals I
  17. Z.6
    Classify quadrilaterals II
  18. Z.7
    Graph triangles and quadrilaterals
  19. Z.8
    Find missing angles in triangles
  20. Z.9
    Find missing angles in triangles using ratios
  21. Z.10
    Find missing angles in quadrilaterals I
  22. Z.11
    Find missing angles in quadrilaterals II
  23. Z.12
    Interior angles of polygons
  24. Z.13
    Parts of a circle
  25. Z.14
    Central angles of circles
  26. AA.1
    Bases of three-dimensional figures
  27. AA.2
    Nets of three-dimensional figures
  28. AA.3
    Front, side, and top view
  29. AA.4
    Cross sections of three-dimensional figures
  30. BB.1
    Perimeter
  31. BB.2
    Area of rectangles and parallelograms
  32. BB.3
    Area of triangles and trapezoids
  33. BB.4
    Area and perimeter: word problems
  34. BB.5
    Circumference of circles
  35. BB.6
    Area of circles
  36. BB.7
    Circles: word problems
  37. BB.8
    Area of semicircles and quarter circles
  38. BB.9
    Semicircles: calculate area, perimeter, radius, and diameter
  39. BB.10
    Quarter circles: calculate area, perimeter, and radius
  40. BB.11
    Area of compound figures made of rectangles
  41. BB.12
    Area of compound figures with triangles
  42. BB.13
    Area of compound figures with triangles, semicircles, and quarter circles
  43. BB.14
    Area between two shapes
  44. CC.1
    Surface area of cubes and prisms
  45. CC.2
    Surface area of pyramids
  46. CC.
    New! Lateral area of prisms and pyramids
  47. CC.3
    Surface area of cylinders
  48. CC.4
    Volume of cubes and prisms
  49. CC.5
    Volume of cubes and rectangular prisms: word problems
  50. CC.6
    Volume of prisms: advanced
  51. CC.7
    Volume of pyramids
  52. CC.8
    Volume of cylinders
  53. DD.1
    Scale drawings of polygons
  54. DD.4
    Perimeter and area: changes in scale
  55. EE.1
    Identify reflections, rotations, and translations
  56. EE.2
    Translations: graph the image
  57. EE.3
    Translations: find the coordinates
  58. EE.4
    Reflections over the x- and y-axes: graph the image
  59. EE.5
    Reflections over the x- and y-axes: find the coordinates
  60. EE.6
    Reflections: graph the image
  61. EE.7
    Reflections: find the coordinates
  62. EE.8
    Rotations: graph the image
  63. EE.9
    Rotations: find the coordinates
  64. FF.1
    Similar and congruent figures
  65. FF.2
    Congruence statements and corresponding parts
  66. FF.3
    Side lengths and angle measures of congruent figures
  67. FF.4
    Side lengths and angle measures of similar figures
  68. FF.5
    Similar figures and indirect measurement

Eighth-grade skills

  1. O.4
    Find the distance between two points
  2. P.1
    Identify complementary, supplementary, vertical, adjacent, and congruent angles
  3. P.2
    Find measures of complementary, supplementary, vertical, and adjacent angles
  4. P.3
    Write and solve equations using angle relationships
  5. P.4
    Identify alternate interior and alternate exterior angles
  6. P.5
    Transversals of parallel lines: name angle pairs
  7. P.6
    Transversals of parallel lines: find angle measures
  8. P.7
    Transversals of parallel lines: solve for x
  9. P.8
    Find lengths and measures of bisected line segments and angles
  10. Q.1
    Identify and classify polygons
  11. Q.2
    Classify triangles
  12. Q.3
    Identify trapezoids
  13. Q.4
    Classify quadrilaterals I
  14. Q.5
    Classify quadrilaterals II
  15. Q.6
    Graph triangles and quadrilaterals
  16. Q.7
    Find missing angles in triangles
  17. Q.8
    Find missing angles in triangles using ratios
  18. Q.9
    Triangle Angle-Sum Theorem
  19. Q.10
    Find missing angles in quadrilaterals I
  20. Q.11
    Find missing angles in quadrilaterals II
  21. Q.12
    Exterior Angle Theorem
  22. Q.13
    Interior angles of polygons
  23. Q.14
    Parts of a circle
  24. Checkpoint skill
    Checkpoint: Triangles and transversals
  25. R.1
    Identify reflections, rotations, and translations
  26. R.2
    Describe a sequence of transformations
  27. R.3
    Translations: graph the image
  28. R.4
    Translations: find the coordinates
  29. R.5
    Translations: write the rule
  30. R.6
    Reflections over the x- and y-axes: graph the image
  31. R.7
    Reflections over the x- and y-axes: find the coordinates
  32. R.8
    Reflections: graph the image
  33. R.9
    Reflections: find the coordinates
  34. R.10
    Rotations: graph the image
  35. R.11
    Rotations: find the coordinates
  36. R.12
    Reflections and rotations: write the rule
  37. R.13
    Describe transformations
  38. R.14
    Sequences of congruence transformations: graph the image
  39. R.
    New! Sequences of congruence transformations: choose the sequence
  40. R.15
    Identify congruent figures
  41. R.16
    Congruence statements and corresponding parts
  42. R.
    New! Determine if two figures are congruent: justify your answer
  43. R.17
    Side lengths and angle measures of congruent figures
  44. Checkpoint skill
    Checkpoint: Congruence transformations
  45. S.1
    Similar and congruent figures
  46. S.2
    Dilations: graph the image
  47. S.3
    Dilations: find the coordinates
  48. S.4
    Dilations: find the scale factor
  49. S.5
    Identify similar triangles
  50. S.6
    Angle-angle criterion for similar triangles
  51. S.7
    Side lengths and angle measures of similar triangles
  52. S.8
    Side lengths and angle measures of similar figures
  53. S.9
    Similar triangles and indirect measurement
  54. S.10
    Find missing side lengths in proportional triangles
  55. Checkpoint skill
    Checkpoint: Similarity transformations
  56. Checkpoint skill
    Checkpoint: Transformations on the coordinate plane
  57. T.1
    Pythagorean theorem: find the length of the hypotenuse
  58. T.2
    Pythagorean theorem: find the missing leg length
  59. T.3
    Pythagorean theorem: find the missing leg or hypotenuse length
  60. T.4
    Pythagorean theorem: find the perimeter
  61. T.5
    Pythagorean theorem: word problems
  62. T.6
    Converse of the Pythagorean theorem: is it a right triangle?
  63. Checkpoint skill
    Checkpoint: Pythagorean theorem and its converse
  64. Checkpoint skill
    Checkpoint: Applications of the Pythagorean theorem
  65. U.1
    Parts of three-dimensional figures
  66. U.2
    Nets of three-dimensional figures
  67. U.3
    Front, side, and top view
  68. U.4
    Similar solids
  69. V.1
    Perimeter
  70. V.2
    Area
  71. V.3
    Area and perimeter: word problems
  72. V.4
    Area and circumference of circles
  73. V.5
    Circles: word problems
  74. V.6
    Area and perimeter of semicircles and quarter circles
  75. V.7
    Area between two shapes
  76. V.8
    Perimeter and area: changes in scale
  77. W.1
    Volume of cubes, prisms, and pyramids
  78. W.2
    Surface area of cubes, prisms, and pyramids
  79. W.3
    Volume of cylinders
  80. W.4
    Volume of cones
  81. W.5
    Surface area of cylinders
  82. W.6
    Surface area of cones
  83. W.7
    Volume of spheres
  84. W.8
    Surface area of spheres
  85. W.9
    Volume and surface area of similar solids
  86. Checkpoint skill
    Checkpoint: Volume
  87. Checkpoint skill
    Checkpoint: Surface area of prisms and cylinders

Algebra 1 skills

  1. D.1
    Area and perimeter: word problems
  2. D.2
    Volume
  3. D.3
    Surface area
  4. D.6
    Minimum and maximum area and volume
  5. D.8
    Percent error: area and volume
  6. I.2
    Midpoint formula: find the midpoint
  7. I.3
    Midpoint formula: find the endpoint
  8. I.4
    Distance between two points
  9. W.5
    Add polynomials to find perimeter
  10. W.12
    Multiply polynomials to find area
  11. Y.6
    Write a quadratic function in vertex form

Geometry skills

  1. B.1
    Lines, line segments, and rays
  2. B.2
    Properties of planes, lines, and points
  3. B.3
    Describe intersections in a plane
  4. B.4
    Lengths of segments on number lines
  5. B.5
    Additive property of length
  6. B.6
    Midpoints
  7. B.7
    Congruent line segments
  8. B.8
    Construct a congruent segment
  9. B.9
    Perpendicular Bisector Theorem
  10. B.10
    Midpoint formula: find the midpoint
  11. B.11
    Partition a line segment in a given ratio
  12. B.12
    Midpoint formula: find the endpoint
  13. B.13
    Distance formula
  14. B.14
    Distance to the origin in three dimensions
  15. B.15
    Construct the midpoint or perpendicular bisector of a segment
  16. Checkpoint skill
    Checkpoint: Partition a line segment
  17. C.1
    Angle vocabulary
  18. C.2
    Angle measures
  19. C.3
    Identify complementary, supplementary, vertical, adjacent, and congruent angles
  20. C.4
    Find measures of complementary, supplementary, vertical, and adjacent angles
  21. C.5
    Angle diagrams: solve for the variable
  22. C.6
    Angle bisectors
  23. C.7
    Construct an angle bisector
  24. C.8
    Construct a congruent angle
  25. C.9
    Proofs involving angles
  26. D.1
    Identify parallel, intersecting, and skew lines and planes
  27. D.2
    Construct a perpendicular line
  28. D.3
    Transversals: name angle pairs
  29. D.4
    Transversals of parallel lines: find angle measures
  30. D.5
    Transversals of parallel lines: solve for x
  31. D.6
    Construct parallel lines
  32. D.7
    Proofs involving parallel lines I
  33. D.8
    Proofs involving parallel lines II
  34. Checkpoint skill
    Checkpoint: Definitions of geometric objects
  35. Checkpoint skill
    Checkpoint: Line and angle theorems
  36. E.6
    Find the distance between a point and a line
  37. E.7
    Find the distance between two parallel lines
  38. Checkpoint skill
    Checkpoint: Coordinate proofs
  39. F.1
    Classify triangles
  40. F.2
    Triangle Angle-Sum Theorem
  41. F.3
    Exterior Angle Theorem
  42. F.4
    Exterior Angle Inequality
  43. G.1
    Polygon vocabulary
  44. G.2
    Interior angles of polygons
  45. G.3
    Exterior angles of polygons
  46. G.4
    Review: interior and exterior angles of polygons
  47. G.5
    Construct an equilateral triangle or regular hexagon
  48. G.6
    Construct a square
  49. H.1
    Classify congruence transformations
  50. H.2
    Translations: graph the image
  51. H.3
    Translations: find the coordinates
  52. H.4
    Translations: write the rule
  53. H.5
    Reflections: graph the image
  54. H.6
    Reflections: find the coordinates
  55. H.7
    Rotate polygons about a point
  56. H.8
    Rotations: graph the image
  57. H.9
    Rotations: find the coordinates
  58. H.10
    Reflections and rotations: write the rule
  59. H.11
    Glide reflections: graph the image
  60. H.12
    Sequences of congruence transformations: graph the image
  61. H.
    New! Sequences of congruence transformations: choose the sequence
  62. H.13
    Sequences of congruence transformations: find the rules
  63. H.14
    Transformations that carry a polygon onto itself
  64. H.15
    Congruence transformations: mixed review
  65. Checkpoint skill
    Checkpoint: Congruence transformations
  66. I.1
    Dilations: graph the image
  67. I.2
    Dilations: find the coordinates
  68. I.3
    Dilations: find length, perimeter, and area
  69. I.4
    Dilations: find the scale factor
  70. I.5
    Dilations: find the scale factor and center of the dilation
  71. I.6
    Dilations and parallel lines
  72. Checkpoint skill
    Checkpoint: Transformations in the plane
  73. Checkpoint skill
    Checkpoint: Dilations
  74. J.1
    Line symmetry
  75. J.2
    Rotational symmetry
  76. J.3
    Draw lines of symmetry
  77. J.4
    Count lines of symmetry
  78. K.1
    Congruence statements and corresponding parts
  79. K.2
    Solve problems involving corresponding parts
  80. K.3
    Identify congruent figures
  81. K.
    New! Determine if two figures are congruent: justify your answer
  82. L.
    New! Prove triangles are congruent using rigid motions
  83. L.1
    SSS and SAS Theorems
  84. L.2
    Proving triangles congruent by SSS and SAS
  85. L.3
    ASA and AAS Theorems
  86. L.4
    Proving triangles congruent by ASA and AAS
  87. L.5
    SSS, SAS, ASA, and AAS Theorems
  88. L.6
    SSS Theorem in the coordinate plane
  89. L.7
    Proving triangles congruent by SSS, SAS, ASA, and AAS
  90. L.8
    Proofs involving corresponding parts of congruent triangles
  91. L.9
    Congruency in isosceles and equilateral triangles
  92. L.10
    Proofs involving isosceles triangles
  93. L.11
    Hypotenuse-Leg Theorem
  94. Checkpoint skill
    Checkpoint: Rigid motion and congruence
  95. M.1
    Ratios in similar figures
  96. M.2
    Similarity statements
  97. M.3
    Identify similar figures
  98. M.4
    Side lengths and angle measures in similar figures
  99. M.5
    Similar triangles and indirect measurement
  100. M.6
    Perimeters of similar figures
  101. M.7
    Angle-angle criterion for similar triangles
  102. M.8
    Similarity rules for triangles
  103. M.9
    Similar triangles and similarity transformations
  104. M.10
    Similarity of circles
  105. M.11
    Triangle Proportionality Theorem
  106. M.12
    Similarity and altitudes in right triangles
  107. M.13
    Areas of similar figures
  108. M.14
    Prove similarity statements
  109. M.15
    Prove proportions or angle congruences using similarity
  110. M.16
    Proofs involving similarity in right triangles
  111. Checkpoint skill
    Checkpoint: Similarity transformations
  112. Checkpoint skill
    Checkpoint: Triangle similarity and congruence
  113. Checkpoint skill
    Checkpoint: Prove circles are similar
  114. N.1
    Midsegments of triangles
  115. N.2
    Triangles and bisectors
  116. N.3
    Identify medians, altitudes, angle bisectors, and perpendicular bisectors
  117. N.4
    Angle-side relationships in triangles
  118. N.5
    Triangle Inequality Theorem
  119. N.6
    Construct the circumcenter or incenter of a triangle
  120. N.7
    Construct the centroid or orthocenter of a triangle
  121. N.8
    Find the centroid of a triangle
  122. N.9
    Proofs involving triangles I
  123. N.10
    Proofs involving triangles II
  124. Checkpoint skill
    Checkpoint: Triangle theorems
  125. O.1
    Identify trapezoids
  126. O.2
    Classify quadrilaterals I
  127. O.3
    Classify quadrilaterals II
  128. O.4
    Find missing angles in quadrilaterals
  129. O.5
    Graph quadrilaterals
  130. O.6
    Properties of parallelograms
  131. O.7
    Proving a quadrilateral is a parallelogram
  132. O.8
    Properties of rhombuses
  133. O.9
    Properties of squares and rectangles
  134. O.10
    Properties of trapezoids
  135. O.11
    Properties of kites
  136. O.12
    Review: properties of quadrilaterals
  137. O.13
    Classify shapes on the coordinate plane: justify your answer
  138. O.14
    Proofs involving triangles and quadrilaterals
  139. O.15
    Proofs involving quadrilaterals
  140. Checkpoint skill
    Checkpoint: Parallelogram theorems
  141. P.1
    Pythagorean theorem
  142. P.2
    Prove the Pythagorean theorem
  143. P.3
    Converse of the Pythagorean theorem
  144. P.4
    Pythagorean Inequality Theorems
  145. Q.1
    Trigonometric ratios: sin, cos, and tan
  146. Q.2
    Trigonometric ratios with radicals: sin, cos, and tan
  147. Q.3
    Trigonometric ratios: csc, sec, and cot
  148. Q.4
    Trigonometric ratios in similar right triangles
  149. Q.5
    Special right triangles
  150. Q.6
    Find trigonometric functions of special angles
  151. Q.7
    Solve a special right triangle
  152. Q.8
    Find trigonometric functions using a calculator
  153. Q.9
    Sine and cosine of complementary angles
  154. Q.10
    Inverses of trigonometric functions
  155. Q.11
    Trigonometric ratios: find a side length
  156. Q.12
    Trigonometric ratios: find an angle measure
  157. Q.13
    Solve a right triangle
  158. Checkpoint skill
    Checkpoint: Right triangle trigonometry
  159. R.1
    Law of Sines
  160. R.2
    Law of Cosines
  161. R.3
    Solve a triangle
  162. R.4
    Area of a triangle: sine formula
  163. R.5
    Area of a triangle: Law of Sines
  164. S.1
    Perimeter
  165. S.2
    Area of rectangles and squares
  166. S.3
    Area of parallelograms and triangles
  167. S.4
    Area of trapezoids
  168. S.5
    Area of rhombuses
  169. S.6
    Area of regular polygons
  170. S.7
    Area and perimeter in the coordinate plane I
  171. S.8
    Area and perimeter in the coordinate plane II
  172. S.9
    Area and circumference of circles
  173. S.10
    Area of compound figures
  174. S.11
    Area between two shapes
  175. S.12
    Area and perimeter of similar figures
  176. S.13
    Perimeter and area: changes in scale
  177. S.14
    Heron's formula
  178. S.15
    Area and perimeter mixed review
  179. Checkpoint skill
    Checkpoint: Area and perimeter in the coordinate plane
  180. T.1
    Parts of three-dimensional figures
  181. T.2
    Three-dimensional figure vocabulary
  182. T.3
    Nets and drawings of three-dimensional figures
  183. T.4
    Cross sections of three-dimensional figures
  184. T.5
    Solids of revolution
  185. Checkpoint skill
    Checkpoint: Cross sections and solids of revolution
  186. U.
    New! Lateral area of prisms and cylinders
  187. U.
    New! Lateral area of pyramids and cones
  188. U.1
    Surface area and volume of rectangular prisms
  189. U.2
    Surface area of prisms and cylinders
  190. U.3
    Surface area of pyramids and cones
  191. U.4
    Surface area of spheres
  192. U.5
    Volume of prisms and cylinders
  193. U.6
    Volume of pyramids and cones
  194. U.7
    Volume of spheres
  195. U.8
    Volume of compound figures
  196. U.9
    Similar solids: find the missing length
  197. U.10
    Surface area and volume of similar solids
  198. U.11
    Surface area and volume: changes in scale
  199. U.12
    Perimeter, area, and volume: changes in scale
  200. U.13
    Surface area and volume review
  201. Checkpoint skill
    Checkpoint: Surface area
  202. Checkpoint skill
    Checkpoint: Volume
  203. V.6
    Minimum and maximum area and volume
  204. V.8
    Percent error: area and volume
  205. Checkpoint skill
    Checkpoint: Geometric modeling and design
  206. W.1
    Parts of a circle
  207. W.2
    Central angles and arc measures
  208. W.3
    Understand arc length and sector area of a circle
  209. W.4
    Arc length
  210. W.5
    Convert between radians and degrees
  211. W.6
    Radians and arc length
  212. W.7
    Area of sectors
  213. W.8
    Circle measurements: mixed review
  214. W.9
    Arcs and chords
  215. W.10
    Tangent lines
  216. W.11
    Perimeter of polygons with an inscribed circle
  217. W.12
    Inscribed angles
  218. W.13
    Angles in inscribed right triangles
  219. W.14
    Angles in inscribed quadrilaterals I
  220. W.15
    Angles in inscribed quadrilaterals II
  221. W.16
    Angles formed by chords, secants, and tangents
  222. W.17
    Segments formed by chords, secants, and tangents
  223. Checkpoint skill
    Checkpoint: Angles and lines in circles
  224. Checkpoint skill
    Checkpoint: Inscribed and circumscribed circles
  225. Checkpoint skill
    Checkpoint: Arc length and area of sectors
  226. X.1
    Construct a tangent line to a circle
  227. X.2
    Construct an equilateral triangle inscribed in a circle
  228. X.3
    Construct a square inscribed in a circle
  229. X.4
    Construct a regular hexagon inscribed in a circle
  230. X.5
    Construct the inscribed or circumscribed circle of a triangle
  231. Checkpoint skill
    Checkpoint: Geometric constructions
  232. Y.1
    Find the center of a circle
  233. Y.2
    Find the radius or diameter of a circle
  234. Y.3
    Determine if a point lies on a circle
  235. Y.
    New! Derive equations of circles using the Pythagorean theorem
  236. Y.4
    Write equations of circles in standard form from graphs
  237. Y.5
    Write equations of circles in standard form using properties
  238. Y.6
    Convert equations of circles from general to standard form
  239. Y.7
    Find properties of circles from equations in general form
  240. Y.8
    Graph circles from equations in standard form
  241. Y.9
    Graph circles from equations in general form
  242. Checkpoint skill
    Checkpoint: Equations of circles
  243. Z.1
    Find the vertex of a parabola
  244. Z.2
    Find the focus or directrix of a parabola
  245. Z.3
    Find the axis of symmetry of a parabola
  246. Z.4
    Write equations of parabolas in vertex form from graphs
  247. Z.5
    Write equations of parabolas in vertex form using the focus and directrix
  248. Z.6
    Write equations of parabolas in vertex form using properties
  249. Z.7
    Convert equations of parabolas from general to vertex form
  250. Z.8
    Find properties of a parabola from equations in general form
  251. Z.9
    Graph parabolas
  252. Checkpoint skill
    Checkpoint: Equations of parabolas
  253. AA.14
    Geometric probability
  254. BB.1
    Compass directions and vectors
  255. BB.2
    Find the magnitude of a vector
  256. BB.3
    Find the component form of a vector
  257. BB.4
    Find the component form of a vector given its magnitude and direction angle
  258. BB.5
    Graph a resultant vector using the triangle method
  259. BB.6
    Graph a resultant vector using the parallelogram method
  260. BB.7
    Add vectors
  261. BB.8
    Subtract vectors

Algebra 2 skills

  1. K.14
    Write a quadratic function in vertex form
  2. U.1
    Identify the direction a parabola opens
  3. U.2
    Find the vertex of a parabola
  4. U.3
    Find the focus or directrix of a parabola
  5. U.4
    Find the axis of symmetry of a parabola
  6. U.5
    Write equations of parabolas in vertex form from graphs
  7. U.6
    Write equations of parabolas in vertex form using properties
  8. U.7
    Convert equations of parabolas from general to vertex form
  9. U.8
    Find properties of a parabola from equations in general form
  10. U.9
    Graph parabolas
  11. V.1
    Find the center of a circle
  12. V.2
    Find the radius or diameter of a circle
  13. V.3
    Write equations of circles in standard form from graphs
  14. V.4
    Write equations of circles in standard form using properties
  15. V.5
    Convert equations of circles from general to standard form
  16. V.6
    Find properties of circles from equations in general form
  17. V.7
    Graph circles
  18. W.1
    Find the center, vertices, or co-vertices of an ellipse
  19. W.2
    Find the length of the major or minor axis of an ellipse
  20. W.3
    Find the foci of an ellipse
  21. W.4
    Write equations of ellipses in standard form from graphs
  22. W.5
    Write equations of ellipses in standard form using properties
  23. W.6
    Convert equations of ellipses from general to standard form
  24. W.7
    Find properties of ellipses from equations in general form
  25. X.1
    Find the center of a hyperbola
  26. X.2
    Find the vertices of a hyperbola
  27. X.3
    Find the length of the transverse or conjugate axes of a hyperbola
  28. X.4
    Find the equations for the asymptotes of a hyperbola
  29. X.5
    Find the foci of a hyperbola
  30. X.6
    Write equations of hyperbolas in standard form from graphs
  31. X.7
    Write equations of hyperbolas in standard form using properties
  32. X.8
    Convert equations of hyperbolas from general to standard form
  33. X.9
    Find properties of hyperbolas from equations in general form
  34. Y.1
    Convert between radians and degrees
  35. Y.2
    Radians and arc length
  36. Y.5
    Coterminal angles
  37. Y.6
    Reference angles
  38. Z.1
    Pythagorean Theorem and its converse
  39. Z.2
    Special right triangles
  40. Z.3
    Trigonometric ratios: sin, cos, and tan
  41. Z.4
    Trigonometric ratios: csc, sec, and cot
  42. Z.5
    Trigonometric ratios in similar right triangles
  43. Z.6
    Find trigonometric ratios using the unit circle
  44. Z.7
    Sin, cos, and tan of special angles
  45. Z.9
    Find trigonometric ratios using reference angles
  46. Z.10
    Find trigonometric functions using a calculator
  47. Z.11
    Inverses of sin, cos, and tan: degrees
  48. Z.12
    Inverses of sin, cos, and tan: radians
  49. Z.14
    Solve trigonometric equations I
  50. Z.15
    Solve trigonometric equations II
  51. Z.16
    Trigonometric ratios: find a side length
  52. Z.17
    Trigonometric ratios: find an angle measure
  53. Z.18
    Solve a right triangle
  54. Z.19
    Law of Sines
  55. Z.20
    Law of Cosines
  56. Z.21
    Solve a triangle
  57. Z.22
    Area of a triangle: sine formula
  58. Z.23
    Area of a triangle: Law of Sines
  59. BB.1
    Complementary angle identities
  60. BB.2
    Symmetry and periodicity of trigonometric functions

Precalculus skills

  1. M.1
    Convert between radians and degrees
  2. M.2
    Radians and arc length
  3. M.4
    Coterminal and reference angles
  4. M.5
    Find trigonometric ratios using right triangles
  5. M.6
    Find trigonometric ratios using the unit circle
  6. M.7
    Find trigonometric ratios of special angles
  7. M.9
    Inverses of trigonometric functions
  8. M.10
    Inverses of trigonometric functions using a calculator
  9. M.11
    Solve trigonometric equations
  10. M.12
    Trigonometric ratios: find a side length
  11. M.13
    Trigonometric ratios: find an angle measure
  12. M.14
    Solve a right triangle
  13. M.15
    Law of Sines
  14. M.16
    Law of Cosines
  15. M.17
    Solve a triangle
  16. M.18
    Area of a triangle: sine formula
  17. M.19
    Area of a triangle: Heron's formula
  18. O.1
    Complementary angle identities
  19. O.2
    Symmetry and periodicity of trigonometric functions
  20. P.1
    Find properties of parabolas
  21. P.2
    Write equations of parabolas in vertex form
  22. P.3
    Graph parabolas
  23. P.4
    Find properties of circles
  24. P.5
    Write equations of circles in standard form
  25. P.6
    Graph circles
  26. P.7
    Find properties of ellipses
  27. P.8
    Find the eccentricity of an ellipse
  28. P.9
    Write equations of ellipses in standard form
  29. P.10
    Find properties of hyperbolas
  30. P.11
    Find the eccentricity of a hyperbola
  31. P.12
    Write equations of hyperbolas in standard form
  32. P.13
    Convert equations of conic sections from general to standard form
  33. S.8
    Distance in the complex plane
  34. U.1
    Find the magnitude of a vector
  35. U.2
    Find the component form of a vector
  36. U.3
    Find the direction angle of a vector
  37. U.4
    Find the component form of a vector from its magnitude and direction angle
  38. U.5
    Graph a resultant vector using the triangle method
  39. U.6
    Graph a resultant vector using the parallelogram method
  40. U.7
    Add vectors
  41. U.8
    Subtract vectors
  42. U.9
    Find the magnitude and direction of a vector sum
  43. U.10
    Multiply a vector by a scalar
  44. U.11
    Find the magnitude of a vector scalar multiple
  45. U.12
    Determine the direction of a vector scalar multiple
  46. U.13
    Find a unit vector
  47. U.14
    Linear combinations of vectors
  48. V.1
    Find the magnitude of a three-dimensional vector
  49. V.2
    Find the component form of a three-dimensional vector
  50. V.3
    Add and subtract three-dimensional vectors
  51. V.4
    Scalar multiples of three-dimensional vectors
  52. V.5
    Find a three-dimensional unit vector
  53. V.6
    Linear combinations of three-dimensional vectors