Geometry

Here is a list of all of the skills that cover geometry! These skills are organized by grade, and you can move your mouse over any skill name to preview the skill. To start practising, 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! To start practising, just click on any link.

Grade 7 skills

  1. R.4 Distance between two points
  2. W.1 Identify and classify polygons
  3. W.2 Name, measure and classify angles
  4. W.3 Classify triangles
  5. W.4 Identify trapezoids
  6. W.5 Classify quadrilaterals
  7. W.6 Graph triangles and quadrilaterals
  8. W.7 Find missing angles in triangles and quadrilaterals
  9. W.8 Interior angles of polygons
  10. W.9 Lines, line segments and rays
  11. W.10 Parallel, perpendicular and intersecting lines
  12. W.11 Identify complementary, supplementary, vertical, adjacent and congruent angles
  13. W.12 Find measures of complementary, supplementary, vertical and adjacent angles
  14. W.13 Transversal of parallel lines
  15. W.14 Find lengths and measures of bisected line segments and angles
  16. W.15 Parts of a circle
  17. X.1 Symmetry
  18. X.2 Identify reflections, rotations and translations
  19. X.3 Translations: graph the image
  20. X.4 Translations: find the coordinates
  21. X.5 Reflections: graph the image
  22. X.6 Reflections: find the coordinates
  23. X.7 Rotations: graph the image
  24. X.8 Rotations: find the coordinates
  25. X.9 Similar and congruent figures
  26. X.10 Side lengths and angle measures of congruent figures
  27. X.11 Congruence statements and corresponding parts
  28. X.12 Side lengths and angle measures of similar figures
  29. X.13 Similar figures and indirect measurement
  30. Y.1 Construct the midpoint or perpendicular bisector of a segment
  31. Y.2 Construct an angle bisector
  32. Y.3 Construct a congruent angle
  33. Y.4 Construct a perpendicular line
  34. Y.5 Construct parallel lines
  35. Y.6 Construct an equilateral triangle or regular hexagon
  36. Z.1 Bases of three-dimensional figures
  37. Z.2 Nets of three-dimensional figures
  38. Z.3 Front, side and top view
  39. AA.1 Perimeter
  40. AA.2 Area of rectangles and parallelograms
  41. AA.3 Area of triangles
  42. AA.4 Area of trapezoids
  43. AA.5 Area with mixed numbers
  44. AA.6 Area and perimeter: word problems
  45. AA.7 Circles: calculate area, circumference, radius and diameter
  46. AA.8 Circles: word problems
  47. AA.9 Semicircles: calculate area, perimeter, radius and diameter
  48. AA.10 Quarter circles: calculate area, perimeter and radius
  49. AA.11 Area of compound figures with triangles, semicircles and quarter circles
  50. AA.12 Area between two shapes
  51. AA.13 Volume
  52. AA.14 Surface area
  53. AA.15 Perimeter, area and volume: changes in scale

Grade 8 skills

  1. O.4 Find the distance between two points
  2. P.1 Identify and classify polygons
  3. P.2 Classify triangles
  4. P.3 Identify trapezoids
  5. P.4 Classify quadrilaterals
  6. P.5 Graph triangles and quadrilaterals
  7. P.6 Find missing angles in triangles and quadrilaterals
  8. P.7 Interior angles of polygons
  9. P.8 Identify complementary, supplementary, vertical, adjacent and congruent angles
  10. P.9 Find measures of complementary, supplementary, vertical and adjacent angles
  11. P.10 Transversal of parallel lines
  12. P.11 Find lengths and measures of bisected line segments and angles
  13. P.12 Parts of a circle
  14. Q.1 Symmetry
  15. Q.2 Identify reflections, rotations and translations
  16. Q.3 Translations: graph the image
  17. Q.4 Translations: find the coordinates
  18. Q.5 Reflections: graph the image
  19. Q.6 Reflections: find the coordinates
  20. Q.7 Rotations: graph the image
  21. Q.8 Rotations: find the coordinates
  22. Q.9 Side lengths and angle measures of congruent figures
  23. Q.10 Congruence statements and corresponding parts
  24. R.1 Similar and congruent figures
  25. R.2 Dilations: graph the image
  26. R.3 Dilations: find the coordinates
  27. R.4 Dilations: scale factor and classification
  28. R.5 Side lengths and angle measures of similar figures
  29. S.1 Pythagorean theorem: find the length of the hypotenuse
  30. S.2 Pythagorean theorem: find the missing leg length
  31. S.3 Pythagorean theorem: find the perimeter
  32. S.4 Pythagorean theorem: word problems
  33. S.5 Converse of the Pythagorean theorem: is it a right triangle?
  34. T.1 Parts of three-dimensional figures
  35. T.2 Nets of three-dimensional figures
  36. T.3 Front, side and top view
  37. T.4 Base plans
  38. T.5 Similar solids
  39. U.1 Perimeter
  40. U.2 Area
  41. U.3 Area between two shapes
  42. U.4 Area and perimeter: word problems
  43. U.5 Circles, semicircles and quarter circles
  44. U.6 Circles: word problems
  45. U.7 Volume
  46. U.8 Surface area of prisms and cylinders
  47. U.9 Surface area of pyramids
  48. U.10 Volume and surface area of similar solids
  49. U.11 Perimeter, area and volume: changes in scale

Grade 9 skills

  1. E.1 Perimeter
  2. E.2 Area
  3. E.3 Area of compound figures
  4. E.4 Area between two shapes
  5. E.5 Symmetry
  6. E.6 Count lines of symmetry
  7. E.7 Draw lines of symmetry
  8. E.8 Interior angles of polygons
  9. E.9 Transversal of parallel lines
  10. E.10 Volume of prisms and pyramids
  11. E.11 Volume of cones and cylinders
  12. E.12 Volume of spheres
  13. E.13 Nets of three-dimensional figures
  14. E.14 Surface area of prisms and pyramids
  15. E.15 Surface area of cones and cylinders
  16. E.16 Surface area of spheres
  17. E.17 Similar figures: side lengths and angle measures
  18. E.18 Similar triangles and indirect measurement
  19. E.19 Area and perimeter of similar figures
  20. E.20 Similar solids
  21. E.21 Volume and surface area of similar solids
  22. E.22 Perimeter, area and volume: changes in scale
  23. E.23 Identify reflections, rotations and translations
  24. E.24 Reflections, rotations and translations: find the coordinates
  25. E.25 Reflections, rotations and translations: graph the image
  26. E.26 Dilations and scale factors
  27. E.27 Pythagorean theorem
  28. E.28 Pythagorean theorem: word problems
  29. E.29 Converse of the Pythagorean theorem: is it a right triangle?
  30. F.1 Parts of a circle
  31. F.2 Circles: calculate area, circumference, radius and diameter
  32. F.3 Circles: word problems
  33. F.4 Central angles
  34. F.5 Arc measure and arc length
  35. F.6 Area of sectors
  36. F.7 Circle measurements: mixed review
  37. F.8 Arcs and chords
  38. F.9 Tangent lines
  39. F.10 Perimeter of polygons with an inscribed circle
  40. F.11 Inscribed angles
  41. F.12 Angles in inscribed right triangles
  42. F.13 Angles in inscribed quadrilaterals I
  43. F.14 Angles in inscribed quadrilaterals II
  44. G.3 Distance between two points
  45. U.3 Multiply monomials to find area
  46. V.5 Add polynomials to find perimeter
  47. V.7 Multiply polynomials to find area

Grade 10 skills

  1. F.2 Midpoints
  2. F.3 Distance between two points
  3. L.24 Find the distance between a point and a line
  4. L.25 Find the distance between two parallel lines
  5. O.5 Add polynomials to find perimeter
  6. R.1 Identify the direction a parabola opens
  7. R.2 Find the vertex of a parabola
  8. R.3 Find the axis of symmetry of a parabola
  9. R.4 Write equations of parabolas in vertex form from graphs
  10. R.5 Write equations of parabolas in vertex form using properties
  11. R.6 Graph parabolas
  12. U.1 Find the centre of a circle
  13. U.2 Find the radius or diameter of a circle
  14. U.3 Write equations of circles in standard form from graphs
  15. U.4 Write equations of circles in standard form using properties
  16. U.5 Graph circles
  17. X.1 Construct an angle bisector
  18. X.2 Construct a congruent angle
  19. Y.1 Polygon vocabulary
  20. Y.2 Interior angles of polygons
  21. Y.3 Perimeter
  22. Y.4 Area of triangles and quadrilaterals
  23. Y.5 Area and perimeter in the coordinate plane I
  24. Y.6 Area and perimeter in the coordinate plane II
  25. Y.7 Area and circumference of circles
  26. Y.8 Area of compound figures
  27. Y.9 Area between two shapes
  28. Y.10 Area and perimeter of similar figures
  29. Y.11 Identify trapezoids
  30. Y.12 Classify quadrilaterals
  31. Y.13 Graph quadrilaterals
  32. Y.14 Properties of parallelograms
  33. Y.15 Properties of rhombuses
  34. Z.1 Three-dimensional figure vocabulary
  35. Z.2 Parts of three-dimensional figures
  36. Z.3 Nets and drawings of three-dimensional figures
  37. Z.4 Introduction to surface area and volume
  38. Z.5 Surface area of prisms and cylinders
  39. Z.6 Surface area of pyramids and cones
  40. Z.7 Volume of prisms and cylinders
  41. Z.8 Volume of pyramids and cones
  42. Z.9 Surface area and volume of spheres
  43. Z.10 Introduction to similar solids
  44. Z.11 Surface area and volume of similar solids
  45. Z.12 Surface area and volume review
  46. Z.13 Cross-sections of three-dimensional figures
  47. Z.14 Solids of revolution
  48. AA.1 Congruent line segments
  49. AA.2 Congruence statements and corresponding parts
  50. AA.3 Solve problems involving corresponding parts
  51. AA.4 Identify congruent figures
  52. AA.5 SSS and SAS Theorems
  53. AA.6 ASA and AAS Theorems
  54. AA.7 SSS, SAS, ASA and AAS Theorems
  55. AA.8 SSS Theorem in the coordinate plane
  56. AA.9 Congruency in isosceles and equilateral triangles
  57. AA.10 Hypotenuse-Leg Theorem
  58. BB.1 Classify triangles
  59. BB.2 Triangle Angle-Sum Theorem
  60. BB.3 Midsegments of triangles
  61. BB.4 Triangles and bisectors
  62. BB.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  63. BB.6 Angle-side relationships in triangles
  64. BB.7 Triangle Inequality Theorem
  65. CC.1 Identify similar figures
  66. CC.2 Similarity ratios
  67. CC.3 Similarity statements
  68. CC.4 Side lengths and angle measures in similar figures
  69. CC.5 Similar triangles and indirect measurement
  70. CC.6 Perimeters of similar figures
  71. CC.7 Similarity rules for triangles
  72. CC.8 Similar triangles and similarity transformations
  73. CC.9 Similarity of circles
  74. CC.10 Triangle Proportionality Theorem
  75. CC.11 Areas of similar figures
  76. DD.1 Pythagorean Theorem
  77. DD.2 Converse of the Pythagorean theorem
  78. DD.3 Pythagorean Inequality Theorems
  79. DD.4 Special right triangles
  80. EE.1 Trigonometric ratios: sin, cos and tan
  81. EE.2 Trigonometric ratios: csc, sec and cot
  82. EE.3 Find trigonometric functions of special angles
  83. EE.4 Find trigonometric functions using a calculator
  84. EE.5 Inverses of trigonometric functions
  85. EE.6 Trigonometric ratios: find a side length
  86. EE.7 Trigonometric ratios: find an angle measure
  87. EE.8 Solve a right triangle
  88. FF.1 Translations: graph the image
  89. FF.2 Translations: find the coordinates
  90. FF.3 Translations: write the rule
  91. FF.4 Reflections: graph the image
  92. FF.5 Reflections: find the coordinates
  93. FF.6 Rotate polygons about a point
  94. FF.7 Rotations: graph the image
  95. FF.8 Rotations: find the coordinates
  96. FF.9 Classify congruence transformations
  97. FF.10 Compositions of congruence transformations: graph the image
  98. FF.11 Transformations that carry a polygon onto itself
  99. FF.12 Congruence transformations: mixed review
  100. FF.13 Dilations: graph the image
  101. FF.14 Dilations: find the coordinates
  102. FF.15 Dilations: scale factor and classification
  103. FF.16 Dilations and parallel lines
  104. GG.8 Geometric probability

Grade 11 skills

  1. I.1 Identify the direction a parabola opens
  2. I.2 Find the vertex of a parabola
  3. I.3 Find the axis of symmetry of a parabola
  4. I.4 Write equations of parabolas in vertex form from graphs
  5. I.5 Write equations of parabolas in vertex form using properties
  6. I.6 Graph parabolas
  7. O.4 Coterminal angles
  8. O.5 Reference angles
  9. P.1 Pythagorean Theorem
  10. P.2 Converse of the Pythagorean theorem
  11. P.3 Pythagorean Inequality Theorems
  12. P.4 Special right triangles
  13. Q.1 Trigonometric ratios: sin, cos and tan
  14. Q.2 Trigonometric ratios: csc, sec and cot
  15. Q.3 Trigonometric ratios in similar right triangles
  16. Q.4 Find trigonometric ratios using the unit circle
  17. Q.5 Sin, cos and tan of special angles
  18. Q.7 Find trigonometric functions using a calculator
  19. Q.8 Inverses of sin, cos and tan
  20. Q.10 Solve trigonometric equations I
  21. Q.11 Solve trigonometric equations II
  22. Q.12 Trigonometric ratios: find a side length
  23. Q.13 Trigonometric ratios: find an angle measure
  24. Q.14 Solve a right triangle
  25. Q.15 Law of Sines
  26. Q.16 Law of Cosines
  27. Q.17 Solve a triangle
  28. Q.18 Area of a triangle: sine formula
  29. Q.19 Area of a triangle: Law of Sines
  30. R.1 Polygon vocabulary
  31. R.2 Interior angles of polygons
  32. R.3 Perimeter
  33. R.4 Area of triangles and quadrilaterals
  34. R.5 Area and perimeter in the coordinate plane I
  35. R.6 Area and perimeter in the coordinate plane II
  36. R.7 Area and circumference of circles
  37. R.8 Area of compound figures
  38. R.9 Area between two shapes
  39. R.10 Area and perimeter of similar figures
  40. R.11 Classify quadrilaterals
  41. R.12 Properties of parallelograms
  42. S.1 Three-dimensional figure vocabulary
  43. S.2 Parts of three-dimensional figures
  44. S.3 Nets and drawings of three-dimensional figures
  45. S.4 Introduction to surface area and volume
  46. S.5 Surface area of prisms and cylinders
  47. S.6 Surface area of pyramids and cones
  48. S.7 Volume of prisms and cylinders
  49. S.8 Volume of pyramids and cones
  50. S.9 Surface area and volume of spheres
  51. S.10 Introduction to similar solids
  52. S.11 Surface area and volume of similar solids
  53. S.12 Surface area and volume review
  54. S.13 Cross-sections of three-dimensional figures
  55. S.14 Solids of revolution
  56. T.1 Congruence statements and corresponding parts
  57. T.2 Solve problems involving corresponding parts
  58. T.3 Identify congruent figures
  59. T.4 Proofs involving angles
  60. T.5 Proofs involving parallel lines I
  61. T.6 Proofs involving parallel lines II
  62. T.7 SSS and SAS Theorems
  63. T.8 ASA and AAS Theorems
  64. T.9 SSS, SAS, ASA and AAS Theorems
  65. T.10 SSS Theorem in the coordinate plane
  66. T.11 Congruency in isosceles and equilateral triangles
  67. T.12 Hypotenuse-Leg Theorem
  68. T.13 Proofs involving triangles I
  69. T.14 Proofs involving triangles II
  70. U.1 Classify triangles
  71. U.2 Triangle Angle-Sum Theorem
  72. U.3 Midsegments of triangles
  73. U.4 Triangles and bisectors
  74. U.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  75. U.6 Angle-side relationships in triangles
  76. U.7 Triangle Inequality Theorem
  77. V.1 Identify similar figures
  78. V.2 Similarity ratios
  79. V.3 Similarity statements
  80. V.4 Side lengths and angle measures in similar figures
  81. V.5 Similar triangles and indirect measurement
  82. V.6 Perimeters of similar figures
  83. V.7 Similarity rules for triangles
  84. V.8 Similar triangles and similarity transformations
  85. V.9 Similarity of circles
  86. V.10 Triangle Proportionality Theorem
  87. V.11 Areas of similar figures

Grade 12 skills

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