Geometry

Here is a list of all of the skills that cover geometry! These skills are organised by year, 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.

Sixth-class skills

  1. BB.1 Identify and classify polygons
  2. BB.2 Measure and classify angles
  3. BB.3 Estimate angle measurements
  4. BB.4 Classify triangles
  5. BB.5 Identify trapeziums
  6. BB.6 Classify quadrilaterals
  7. BB.7 Graph triangles and quadrilaterals
  8. BB.8 Find missing angles in triangles and quadrilaterals
  9. BB.9 Sums of angles in polygons
  10. BB.10 Parts of a circle
  11. CC.1 Symmetry
  12. CC.2 Reflection, rotation and translation
  13. CC.3 Translations: graph the image
  14. CC.4 Reflections: graph the image
  15. CC.5 Rotations: graph the image
  16. CC.6 Similar and congruent figures
  17. CC.7 Find side lengths of similar figures
  18. DD.1 Identify polyhedra
  19. DD.2 Which figure is being described?
  20. DD.3 Nets of three-dimensional figures
  21. DD.4 Front, side and top view
  22. EE.1 Perimeter
  23. EE.2 Area of figures made of unit squares
  24. EE.3 Area of squares and rectangles
  25. EE.4 Area of triangles
  26. EE.5 Area of compound figures
  27. EE.6 Area and perimeter of figures on grids
  28. EE.7 Area and perimeter: word problems
  29. EE.8 Rectangles: relationship between perimeter and area
  30. EE.9 Compare area and perimeter of two figures
  31. EE.10 Circles: calculate area, circumference, radius and diameter
  32. EE.11 Circles: word problems
  33. EE.12 Semicircles: calculate area, perimeter, radius and diameter
  34. EE.13 Quarter circles: calculate area, perimeter and radius
  35. EE.14 Area of compound figures with triangles, semicircles and quarter circles
  36. EE.15 Area between two rectangles
  37. EE.16 Area between two triangles
  38. EE.17 Area between two circles
  39. EE.18 Volume of figures made of unit cubes
  40. EE.19 Volume and surface area of cubes and rectangular prisms
  41. EE.20 Volume and surface area of triangular prisms

First-year skills

  1. P.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 trapeziums
  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 half lines
  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. Y.7 Construct a square
  37. Z.1 Pythagoras' theorem: find the length of the hypotenuse
  38. Z.2 Pythagoras' theorem: find the missing leg length
  39. Z.3 Pythagoras' theorem: word problems
  40. Z.4 Converse of Pythagoras' theorem: is it a right triangle?
  41. AA.1 Bases of three-dimensional figures
  42. AA.2 Nets of three-dimensional figures
  43. AA.3 Front, side and top view
  44. BB.1 Perimeter
  45. BB.2 Area of rectangles and parallelograms
  46. BB.3 Area of triangles and trapeziums
  47. BB.4 Area and perimeter: word problems
  48. BB.5 Circles: calculate area, circumference, radius and diameter
  49. BB.6 Circles: word problems
  50. BB.7 Semicircles: calculate area, perimeter, radius and diameter
  51. BB.8 Quarter circles: calculate area, perimeter and radius
  52. BB.9 Area of compound figures with triangles, semicircles and quarter circles
  53. BB.10 Area between two shapes
  54. BB.11 Volume
  55. BB.12 Surface area
  56. BB.13 Perimeter, area and volume: changes in scale

Second-year skills

  1. N.4 Find the distance between two points
  2. O.1 Identify and classify polygons
  3. O.2 Classify triangles
  4. O.3 Identify trapeziums
  5. O.4 Classify quadrilaterals
  6. O.5 Graph triangles and quadrilaterals
  7. O.6 Find missing angles in triangles and quadrilaterals
  8. O.7 Interior angles of polygons
  9. O.8 Lines, line segments and half lines
  10. O.9 Identify complementary, supplementary, vertical, adjacent and congruent angles
  11. O.10 Find measures of complementary, supplementary, vertical and adjacent angles
  12. O.11 Transversal of parallel lines
  13. O.12 Find lengths and measures of bisected line segments and angles
  14. O.13 Parts of a circle
  15. P.1 Symmetry
  16. P.2 Identify reflections, rotations and translations
  17. P.3 Translations: graph the image
  18. P.4 Translations: find the coordinates
  19. P.5 Reflections: graph the image
  20. P.6 Reflections: find the coordinates
  21. P.7 Rotations: graph the image
  22. P.8 Rotations: find the coordinates
  23. P.9 Side lengths and angle measures of congruent figures
  24. P.10 Congruence statements and corresponding parts
  25. P.11 Congruent triangles: SSS, SAS and ASA
  26. Q.1 Similar and congruent figures
  27. Q.2 Dilations: graph the image
  28. Q.3 Dilations: find the coordinates
  29. Q.4 Dilations: scale factor and classification
  30. Q.5 Side lengths and angle measures of similar figures
  31. R.1 Construct the midpoint or perpendicular bisector of a segment
  32. R.2 Construct an angle bisector
  33. R.3 Construct a congruent angle
  34. R.4 Construct a perpendicular line
  35. R.5 Construct parallel lines
  36. R.6 Construct an equilateral triangle or regular hexagon
  37. R.7 Construct a square
  38. S.1 Pythagoras' theorem: find the length of the hypotenuse
  39. S.2 Pythagoras' theorem: find the missing leg length
  40. S.3 Pythagoras' theorem: find the perimeter
  41. S.4 Pythagoras' theorem: word problems
  42. S.5 Converse of Pythagoras' theorem: is it a right triangle?
  43. T.1 Parts of three-dimensional figures
  44. T.2 Nets of three-dimensional figures
  45. T.3 Front, side and top view
  46. T.4 Base plans
  47. T.5 Similar solids
  48. U.1 Perimeter
  49. U.2 Area
  50. U.3 Area between two shapes
  51. U.4 Area and perimeter: word problems
  52. U.5 Circles, semicircles and quarter circles
  53. U.6 Circles: word problems
  54. U.7 Volume of prisms and cylinders
  55. U.8 Surface area of prisms and cylinders
  56. U.9 Volume of cones
  57. U.10 Surface area of cones
  58. U.11 Volume and surface area of spheres
  59. U.12 Volume and surface area of similar solids
  60. U.13 Perimeter, area and volume: changes in scale
  61. BB.5 Add polynomials to find perimeter
  62. BB.13 Multiply polynomials to find area

Third-year skills

  1. E.4 Minimum and maximum area and volume
  2. E.6 Percent error: area and volume
  3. F.1 Perimeter
  4. F.2 Area
  5. F.3 Symmetry
  6. F.4 Count lines of symmetry
  7. F.5 Draw lines of symmetry
  8. F.6 Transversal of parallel lines
  9. F.7 Volume
  10. F.8 Nets of three-dimensional figures
  11. F.9 Surface area
  12. F.10 Congruent triangles: SSS, SAS and ASA
  13. F.11 Similar figures: side lengths and angle measures
  14. F.12 Similar triangles and indirect measurement
  15. F.13 Area and perimeter of similar figures
  16. F.14 Area between two shapes
  17. F.15 Similar solids
  18. F.16 Volume and surface area of similar solids
  19. F.17 Perimeter, area and volume: changes in scale
  20. F.18 Identify reflections, rotations and translations
  21. F.19 Reflections, rotations and translations: find the coordinates
  22. F.20 Reflections, rotations and translations: graph the image
  23. F.21 Dilations and scale factors
  24. F.22 Pythagoras' theorem
  25. F.23 Pythagoras' theorem: word problems
  26. F.24 Converse of Pythagoras' theorem: is it a right triangle?
  27. G.1 Construct the midpoint or perpendicular bisector of a segment
  28. G.2 Construct an angle bisector
  29. G.3 Construct a congruent angle
  30. G.4 Construct a perpendicular line
  31. G.5 Construct parallel lines
  32. G.6 Construct an equilateral triangle or regular hexagon
  33. G.7 Construct a square
  34. H.1 Trigonometric ratios: sin, cos and tan
  35. H.2 Trigonometric ratios: csc, sec and cot
  36. H.3 Find trigonometric functions of special angles
  37. H.4 Find trigonometric functions using a calculator
  38. H.5 Inverses of trigonometric functions
  39. H.6 Trigonometric ratios: find a side length
  40. H.7 Trigonometric ratios: find an angle measure
  41. H.8 Solve a right triangle
  42. I.2 Midpoints
  43. I.3 Distance between two points
  44. Z.5 Add polynomials to find perimeter

Transition year skills

  1. F.24 Find the distance between a point and a line
  2. F.25 Find the distance between two parallel lines
  3. L.5 Add polynomials to find perimeter
  4. R.1 Lines, line segments and half lines
  5. R.2 Lengths of segments on number lines
  6. R.3 Additive property of length
  7. R.4 Midpoints
  8. R.5 Congruent line segments
  9. R.6 Perpendicular Bisector Theorem
  10. R.7 Midpoint formula
  11. R.8 Distance formula
  12. S.1 Angle vocabulary
  13. S.2 Angle measures
  14. S.3 Identify complementary, supplementary, vertical, adjacent and congruent angles
  15. S.4 Find measures of complementary, supplementary, vertical and adjacent angles
  16. S.5 Angle bisectors
  17. T.1 Identify parallel, perpendicular and skew lines and planes
  18. T.2 Transversals: name angle pairs
  19. T.3 Transversals of parallel lines: find angle measures
  20. U.1 Polygon vocabulary
  21. U.2 Perimeter
  22. U.3 Area of triangles and quadrilaterals
  23. U.4 Area and perimeter in the coordinate plane I
  24. U.5 Area and perimeter in the coordinate plane II
  25. U.6 Area and circumference of circles
  26. U.7 Area of compound figures
  27. U.8 Area and perimeter of similar figures
  28. U.9 Area between two shapes
  29. V.1 Congruence statements and corresponding parts
  30. V.2 Solve problems involving corresponding parts
  31. V.3 Identify congruent figures
  32. W.1 SSS and SAS Theorems
  33. W.2 ASA and AAS Theorems
  34. W.3 SSS, SAS, ASA and AAS Theorems
  35. W.4 SSS Theorem in the coordinate plane
  36. W.5 Congruency in isosceles and equilateral triangles
  37. W.6 Hypotenuse-Leg Theorem
  38. X.1 Congruence transformations
  39. X.2 Compositions of congruence transformations: graph the image
  40. X.3 Transformations that carry a polygon onto itself
  41. X.4 Dilations: graph the image
  42. X.5 Dilations: find the coordinates
  43. X.6 Dilations: scale factor and classification
  44. X.7 Dilations and parallel lines
  45. Y.1 Classify triangles
  46. Y.2 Triangle Angle-Sum Theorem
  47. Y.3 Midsegments of triangles
  48. Y.4 Triangles and bisectors
  49. Y.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  50. Y.6 Angle-side relationships in triangles
  51. Y.7 Triangle Inequality Theorem
  52. Z.1 Identify similar figures
  53. Z.2 Similarity ratios
  54. Z.3 Similarity statements
  55. Z.4 Side lengths and angle measures in similar figures
  56. Z.5 Similar triangles and indirect measurement
  57. Z.6 Perimeters of similar figures
  58. Z.7 Similarity rules for triangles
  59. Z.8 Similar triangles and similarity transformations
  60. Z.9 Areas of similar figures
  61. AA.1 Pythagoras' Theorem
  62. AA.2 Converse of Pythagoras' theorem
  63. AA.3 Pythagoras' Inequality Theorems
  64. AA.4 Special right triangles
  65. BB.1 Trigonometric ratios: sin, cos and tan
  66. BB.2 Trigonometric ratios: csc, sec and cot
  67. BB.3 Find trigonometric functions of special angles
  68. BB.4 Find trigonometric functions using a calculator
  69. BB.5 Inverses of trigonometric functions
  70. BB.6 Trigonometric ratios: find a side length
  71. BB.7 Trigonometric ratios: find an angle measure
  72. BB.8 Solve a right triangle
  73. CC.1 Introduction to surface area and volume
  74. CC.2 Surface area of prisms and cylinders
  75. CC.3 Surface area of pyramids and cones
  76. CC.4 Volume of prisms and cylinders
  77. CC.5 Volume of pyramids and cones
  78. CC.6 Surface area and volume of spheres
  79. CC.7 Introduction to similar solids
  80. CC.8 Surface area and volume of similar solids
  81. CC.9 Surface area and volume review
  82. DD.4 Minimum and maximum area and volume
  83. DD.6 Percent error: area and volume
  84. FF.6 Geometric probability
  85. II.1 Construct the midpoint or perpendicular bisector of a segment
  86. II.2 Construct an angle bisector
  87. II.3 Construct a congruent angle
  88. II.4 Construct a perpendicular line
  89. II.5 Construct parallel lines
  90. II.6 Construct an equilateral triangle or regular hexagon
  91. II.7 Construct a square
  92. II.8 Construct a tangent line to a circle
  93. II.9 Construct the circumcenter or incenter of a triangle
  94. II.10 Construct the inscribed or circumscribed circle of a triangle
  95. II.11 Construct the centroid or orthocenter of a triangle

Fifth-year skills

  1. J.8 Distance in the Argand plane
  2. T.1 Convert between radians and degrees
  3. T.2 Radians and arc length
  4. T.5 Coterminal angles
  5. T.6 Reference angles
  6. U.1 Pythagoras' Theorem and its converse
  7. U.2 Special right triangles
  8. U.3 Trigonometric ratios: sin, cos and tan
  9. U.4 Trigonometric ratios: csc, sec and cot
  10. U.5 Trigonometric ratios in similar right triangles
  11. U.6 Find trigonometric ratios using the unit circle
  12. U.7 Sin, cos and tan of special angles
  13. U.9 Find trigonometric functions using a calculator
  14. U.10 Inverses of sin, cos and tan
  15. U.12 Solve trigonometric equations I
  16. U.13 Solve trigonometric equations II
  17. U.14 Trigonometric ratios: find a side length
  18. U.15 Trigonometric ratios: find an angle measure
  19. U.16 Solve a right triangle
  20. U.17 Law of Sines
  21. U.18 Law of Cosines
  22. U.19 Solve a triangle
  23. U.20 Area of a triangle: sine formula
  24. U.21 Area of a triangle: Law of Sines
  25. W.1 Complementary angle identities
  26. W.2 Symmetry and periodicity of trigonometric functions
  27. X.1 Midsegments of triangles
  28. X.2 Triangles and bisectors
  29. X.3 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  30. X.4 Angle-side relationships in triangles
  31. X.5 Triangle Inequality Theorem
  32. Y.1 Identify similar figures
  33. Y.2 Similarity ratios
  34. Y.3 Similarity statements
  35. Y.4 Side lengths and angle measures in similar figures
  36. Y.5 Similar triangles and indirect measurement
  37. Y.6 Perimeters of similar figures
  38. Y.7 Similarity rules for triangles
  39. Y.8 Similar triangles and similarity transformations
  40. Y.9 Similarity of circles
  41. Y.10 Triangle Proportionality Theorem
  42. Y.11 Areas of similar figures
  43. Z.1 Polygon vocabulary
  44. Z.2 Perimeter
  45. Z.3 Area of triangles and quadrilaterals
  46. Z.4 Area and perimeter in the coordinate plane I
  47. Z.5 Area and perimeter in the coordinate plane II
  48. Z.6 Area and circumference of circles
  49. Z.7 Area of compound figures
  50. Z.8 Area between two shapes
  51. Z.9 Area and perimeter of similar figures
  52. AA.1 Parts of a circle
  53. AA.2 Central angles
  54. AA.3 Arc measure and arc length
  55. AA.4 Area of sectors
  56. AA.5 Circle measurements: mixed review
  57. AA.6 Arcs and chords
  58. AA.7 Tangent lines
  59. AA.8 Perimeter of polygons with an inscribed circle
  60. AA.9 Inscribed angles
  61. AA.10 Angles in inscribed right triangles
  62. AA.11 Angles in inscribed quadrilaterals
  63. BB.1 Find the centre of a circle
  64. BB.2 Find the radius or diameter of a circle
  65. BB.3 Write equations of circles in standard form from graphs
  66. BB.4 Write equations of circles in standard form using properties
  67. BB.5 Convert equations of circles from general to standard form
  68. BB.6 Find properties of circles from equations in general form
  69. BB.7 Graph circles
  70. CC.1 Introduction to surface area and volume
  71. CC.2 Surface area of prisms and cylinders
  72. CC.3 Surface area of pyramids and cones
  73. CC.4 Volume of prisms and cylinders
  74. CC.5 Volume of pyramids and cones
  75. CC.6 Surface area and volume of spheres
  76. CC.7 Introduction to similar solids
  77. CC.8 Surface area and volume of similar solids
  78. CC.9 Surface area and volume review
  79. FF.12 Geometric probability
  80. II.1 Construct the midpoint or perpendicular bisector of a segment
  81. II.2 Construct an angle bisector
  82. II.3 Construct a congruent angle
  83. II.4 Construct a perpendicular line
  84. II.5 Construct parallel lines
  85. II.6 Construct an equilateral triangle or regular hexagon
  86. II.7 Construct a square
  87. II.8 Construct a tangent line to a circle
  88. II.9 Construct the circumcenter or incenter of a triangle
  89. II.10 Construct the inscribed or circumscribed circle of a triangle
  90. II.11 Construct the centroid or orthocenter of a triangle