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.

Primary 6 skills

  1. T.1 Identify and classify polygons
  2. T.2 Measure and classify angles
  3. T.3 Estimate angle measurements
  4. T.4 Classify triangles
  5. T.5 Identify trapeziums
  6. T.6 Classify quadrilaterals
  7. T.7 Graph triangles and quadrilaterals
  8. T.8 Find missing angles in triangles and quadrilaterals
  9. T.9 Sums of angles in polygons
  10. T.10 Identify complementary, supplementary, vertical, adjacent and congruent angles
  11. T.11 Find measures of complementary, supplementary, vertical and adjacent angles
  12. T.12 Parts of a circle
  13. T.13 Central angles of circles
  14. T.14 Symmetry
  15. U.1 Identify polyhedra
  16. U.2 Which figure is being described?
  17. U.3 Nets of three-dimensional figures
  18. U.4 Front, side and top view
  19. V.1 Perimeter
  20. V.2 Area of figures made of unit squares
  21. V.3 Area of squares and rectangles
  22. V.4 Area of triangles
  23. V.5 Area of composite figures
  24. V.6 Area between two rectangles
  25. V.7 Area between two triangles
  26. V.8 Area between two circles
  27. V.9 Area and perimeter of figures on grids
  28. V.10 Area and perimeter: word problems
  29. V.11 Rectangles: relationship between perimeter and area
  30. V.12 Compare area and perimeter of two figures
  31. V.13 Circles: calculate area, circumference, radius and diameter
  32. V.14 Circles: word problems
  33. V.15 Semicircles: calculate area, perimeter, radius and diameter
  34. V.16 Quarter circles: calculate area, perimeter and radius
  35. V.17 Area of composite figures with triangles, semicircles and quarter circles
  36. V.18 Volume of figures made of unit cubes
  37. V.19 Volume and surface area of cubes and rectangular prisms
  38. V.20 Volume and surface area of triangular prisms

Secondary 1 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 Exterior angles of polygons
  11. W.10 Lines, line segments and rays
  12. W.11 Parallel, perpendicular and intersecting lines
  13. W.12 Identify complementary, supplementary, vertical, adjacent and congruent angles
  14. W.13 Find measures of complementary, supplementary, vertical and adjacent angles
  15. W.14 Transversal of parallel lines
  16. W.15 Find lengths and measures of bisected line segments and angles
  17. W.16 Central angles of circles
  18. W.17 Parts of a circle
  19. W.18 Symmetry
  20. X.1 Similar and congruent figures
  21. X.2 Side lengths and angle measures of congruent figures
  22. X.3 Congruence statements and corresponding parts
  23. X.4 Side lengths and angle measures of similar figures
  24. X.5 Similar figures and indirect measurement
  25. Y.1 Construct the midpoint or perpendicular bisector of a segment
  26. Y.2 Construct an angle bisector
  27. Y.3 Construct a congruent angle
  28. Y.4 Construct a perpendicular line
  29. Y.5 Construct parallel lines
  30. Y.6 Construct an equilateral triangle or regular hexagon
  31. Z.1 Bases of three-dimensional figures
  32. Z.2 Nets of three-dimensional figures
  33. Z.3 Front, side and top view
  34. AA.1 Perimeter
  35. AA.2 Area of rectangles and parallelograms
  36. AA.3 Area of triangles and trapeziums
  37. AA.4 Area between two shapes
  38. AA.5 Area and perimeter: word problems
  39. AA.6 Circles: calculate area, circumference, radius and diameter
  40. AA.7 Circles: word problems
  41. AA.8 Semicircles: calculate area, perimeter, radius and diameter
  42. AA.9 Quarter circles: calculate area, perimeter and radius
  43. AA.10 Area of composite figures with triangles, semicircles and quarter circles
  44. AA.11 Volume
  45. AA.12 Surface area
  46. AA.13 Perimeter, area and volume: changes in scale

Secondary 2 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 rays
  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. S.1 Pythagoras' theorem: find the length of the hypotenuse
  38. S.2 Pythagoras' theorem: find the missing leg length
  39. S.3 Pythagoras' theorem: find the perimeter
  40. S.4 Pythagoras' theorem: word problems
  41. S.5 Converse of Pythagoras' theorem: is it a right triangle?
  42. T.1 Parts of three-dimensional figures
  43. T.2 Nets of three-dimensional figures
  44. T.3 Front, side and top view
  45. T.4 Base plans
  46. T.5 Similar solids
  47. U.1 Perimeter
  48. U.2 Area
  49. U.3 Area of composite figures with triangles, semicircles and quarter circles
  50. U.4 Area between two shapes
  51. U.5 Area and perimeter: word problems
  52. U.6 Circles, semicircles and quarter circles
  53. U.7 Circles: word problems
  54. U.8 Arc measure and arc length
  55. U.9 Area of sectors
  56. U.10 Volume of prisms and cylinders
  57. U.11 Surface area of prisms and cylinders
  58. U.12 Volume of pyramids and cones
  59. U.13 Surface area of pyramids and cones
  60. U.14 Volume and surface area of spheres
  61. U.15 Volume and surface area of similar solids
  62. U.16 Perimeter, area and volume: changes in scale
  63. BB.5 Add polynomials to find perimeter
  64. BB.13 Multiply polynomials to find area

Secondary 3 skills

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

Secondary 4 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. Q.1 Lines, line segments and rays
  5. Q.2 Lengths of segments on number lines
  6. Q.3 Additive property of length
  7. Q.4 Midpoints
  8. Q.5 Congruent line segments
  9. Q.6 Perpendicular Bisector Theorem
  10. Q.7 Distance between two points
  11. R.1 Angle measures
  12. R.2 Identify complementary, supplementary, vertical, adjacent and congruent angles
  13. R.3 Find measures of complementary, supplementary, vertical and adjacent angles
  14. R.4 Angle bisectors
  15. S.1 Identify parallel, perpendicular and skew lines and planes
  16. S.2 Transversals: name angle pairs
  17. S.3 Transversals of parallel lines: find angle measures
  18. T.1 Polygon vocabulary
  19. T.2 Perimeter
  20. T.3 Area of triangles and quadrilaterals
  21. T.4 Area and perimeter in the coordinate plane I
  22. T.5 Area and perimeter in the coordinate plane II
  23. T.6 Area and circumference of circles
  24. T.7 Area and perimeter of semicircles and quarter circles
  25. T.8 Area of composite figures
  26. T.9 Area between two shapes
  27. T.10 Area and perimeter of similar figures
  28. U.1 Congruence statements and corresponding parts
  29. U.2 Solve problems involving corresponding parts
  30. U.3 Identify congruent figures
  31. V.1 SSS and SAS Theorems
  32. V.2 ASA and AAS Theorems
  33. V.3 SSS, SAS, ASA and AAS Theorems
  34. V.4 SSS Theorem in the coordinate plane
  35. V.5 Congruency in isosceles and equilateral triangles
  36. V.6 Hypotenuse-Leg Theorem
  37. W.1 Congruence transformations
  38. W.2 Classify congruence transformations
  39. W.3 Compositions of congruence transformations: graph the image
  40. W.4 Rotate polygons about a point
  41. W.5 Transformations that carry a polygon onto itself
  42. W.6 Dilations: graph the image
  43. W.7 Dilations: find the coordinates
  44. W.8 Dilations: scale factor and classification
  45. W.9 Dilations and parallel lines
  46. X.1 Classify triangles
  47. X.2 Triangle Angle-Sum Theorem
  48. X.3 Midsegments of triangles
  49. X.4 Triangles and bisectors
  50. X.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  51. X.6 Angle-side relationships in triangles
  52. X.7 Triangle Inequality Theorem
  53. Y.1 Identify similar figures
  54. Y.2 Similarity ratios
  55. Y.3 Similarity statements
  56. Y.4 Side lengths and angle measures in similar figures
  57. Y.5 Similar triangles and indirect measurement
  58. Y.6 Perimeters of similar figures
  59. Y.7 Similarity rules for triangles
  60. Y.8 Similar triangles and similarity transformations
  61. Y.9 Areas of similar figures
  62. Z.1 Pythagoras' Theorem
  63. Z.2 Converse of Pythagoras' theorem
  64. Z.3 Pythagoras' Inequality Theorems
  65. Z.4 Special right triangles
  66. AA.1 Convert between radians and degrees
  67. AA.2 Radians and arc length
  68. AA.5 Coterminal angles
  69. AA.6 Reference angles
  70. BB.1 Trigonometric ratios: sin, cos and tan
  71. BB.2 Trigonometric ratios: csc, sec and cot
  72. BB.3 Trigonometric ratios in similar right triangles
  73. BB.4 Find trigonometric ratios using the unit circle
  74. BB.5 Sin, cos and tan of special angles
  75. BB.7 Find trigonometric functions using a calculator
  76. BB.8 Inverses of sin, cos and tan
  77. BB.10 Trigonometric ratios: find a side length
  78. BB.11 Trigonometric ratios: find an angle measure
  79. BB.12 Solve a right triangle
  80. BB.13 Law of Sines
  81. BB.14 Law of Cosines
  82. BB.15 Solve a triangle
  83. BB.16 Area of a triangle: sine formula
  84. BB.17 Area of a triangle: Law of Sines
  85. CC.1 Find the magnitude of a vector
  86. CC.2 Find the direction angle of a vector
  87. CC.3 Find the component form of a vector
  88. CC.4 Find the component form of a vector from its magnitude and direction angle
  89. CC.5 Add and subtract vectors
  90. CC.6 Multiply a vector by a scalar
  91. CC.7 Find the magnitude or direction of a vector scalar multiple
  92. CC.8 Find the magnitude and direction of a vector sum
  93. CC.9 Linear combinations of vectors
  94. CC.10 Graph a resultant vector using the triangle method
  95. CC.11 Graph a resultant vector using the parallelogram method
  96. DD.1 Parts of a circle
  97. DD.2 Central angles
  98. DD.3 Arc measure and arc length
  99. DD.4 Area of sectors
  100. DD.5 Circle measurements: mixed review
  101. DD.6 Arcs and chords
  102. DD.7 Tangent lines
  103. DD.8 Perimeter of polygons with an inscribed circle
  104. DD.9 Inscribed angles
  105. DD.10 Angles in inscribed right triangles
  106. DD.11 Angles in inscribed quadrilaterals
  107. EE.1 Introduction to surface area and volume
  108. EE.2 Surface area of prisms and cylinders
  109. EE.3 Surface area of pyramids and cones
  110. EE.4 Volume of prisms and cylinders
  111. EE.5 Volume of pyramids and cones
  112. EE.6 Surface area and volume of spheres
  113. EE.7 Introduction to similar solids
  114. EE.8 Surface area and volume of similar solids
  115. EE.9 Surface area and volume review
  116. FF.4 Minimum and maximum area and volume
  117. FF.6 Percent error: area and volume
  118. HH.6 Geometric probability

Higher 1 skills

  1. Q.1 Identify the direction a parabola opens
  2. Q.2 Find the vertex of a parabola
  3. Q.3 Find the focus or directrix of a parabola
  4. Q.4 Find the axis of symmetry of a parabola
  5. Q.5 Write equations of parabolas in vertex form from graphs
  6. Q.6 Write equations of parabolas in vertex form using properties
  7. Q.7 Graph parabolas
  8. R.1 Find the centre of a circle
  9. R.2 Find the radius or diameter of a circle
  10. R.3 Write equations of circles in standard form from graphs
  11. R.4 Write equations of circles in standard form using properties
  12. R.5 Convert equations of circles from general to standard form
  13. R.6 Find properties of circles from equations in general form
  14. R.7 Graph circles
  15. S.1 Find the centre, vertices or co-vertices of an ellipse
  16. S.2 Find the length of the major or minor axes of an ellipse
  17. S.3 Find the foci of an ellipse
  18. S.4 Write equations of ellipses in standard form from graphs
  19. S.5 Write equations of ellipses in standard form using properties
  20. T.1 Find the centre of a hyperbola
  21. T.2 Find the vertices of a hyperbola
  22. T.3 Find the length of the transverse or conjugate axes of a hyperbola
  23. T.4 Find the equations for the asymptotes of a hyperbola
  24. T.5 Find the foci of a hyperbola
  25. T.6 Write equations of hyperbolas in standard form from graphs
  26. T.7 Write equations of hyperbolas in standard form using properties
  27. U.1 Convert between radians and degrees
  28. U.2 Radians and arc length
  29. U.5 Coterminal angles
  30. U.6 Reference angles
  31. V.1 Pythagoras' Theorem and its converse
  32. V.2 Special right triangles
  33. V.3 Trigonometric ratios: sin, cos and tan
  34. V.4 Trigonometric ratios: csc, sec and cot
  35. V.5 Trigonometric ratios in similar right triangles
  36. V.6 Find trigonometric ratios using the unit circle
  37. V.7 Sin, cos and tan of special angles
  38. V.9 Find trigonometric functions using a calculator
  39. V.10 Inverses of sin, cos and tan
  40. V.12 Solve trigonometric equations I
  41. V.13 Solve trigonometric equations II
  42. V.14 Trigonometric ratios: find a side length
  43. V.15 Trigonometric ratios: find an angle measure
  44. V.16 Solve a right triangle
  45. V.17 Law of Sines
  46. V.18 Law of Cosines
  47. V.19 Solve a triangle
  48. V.20 Area of a triangle: sine formula
  49. V.21 Area of a triangle: Law of Sines
  50. X.1 Complementary angle identities
  51. X.2 Symmetry and periodicity of trigonometric functions
  52. AA.12 Geometric probability