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.

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

Year 11 skills

  1. D.2 Midpoints
  2. D.3 Distance between two points
  3. I.24 Find the distance between a point and a line
  4. I.25 Find the distance between two parallel lines
  5. O.5 Add polynomials to find perimeter
  6. S.1 Identify the direction a parabola opens
  7. S.2 Find the vertex of a parabola
  8. S.3 Find the focus or directrix of a parabola
  9. S.4 Find the axis of symmetry of a parabola
  10. S.5 Write equations of parabolas in vertex form from graphs
  11. S.6 Write equations of parabolas in vertex form using properties
  12. S.7 Convert equations of parabolas from general to vertex form
  13. S.8 Find properties of a parabola from equations in general form
  14. S.9 Graph parabolas
  15. T.1 Find the centre, vertices or co-vertices of an ellipse
  16. T.2 Find the length of the major or minor axes of an ellipse
  17. T.3 Find the foci of an ellipse
  18. T.4 Write equations of ellipses in standard form from graphs
  19. T.5 Write equations of ellipses in standard form using properties
  20. T.6 Convert equations of ellipses from general to standard form
  21. T.7 Find properties of ellipses from equations in general form
  22. Y.4 Minimum and maximum area and volume
  23. Y.6 Percent error: area and volume
  24. AA.1 Classify triangles
  25. AA.2 Polygon vocabulary
  26. AA.3 Triangle Angle-Sum Theorem
  27. AA.4 Midsegments of triangles
  28. AA.5 Triangles and bisectors
  29. AA.6 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  30. AA.7 Perimeter
  31. AA.8 Area of triangles and quadrilaterals
  32. AA.9 Area and perimeter in the coordinate plane I
  33. AA.10 Area and perimeter in the coordinate plane II
  34. AA.11 Area and circumference of circles
  35. AA.12 Area of compound figures
  36. AA.13 Area between two shapes
  37. AA.14 Area and perimeter of similar figures
  38. BB.1 Congruence statements and corresponding parts
  39. BB.2 Solve problems involving corresponding parts
  40. BB.3 Identify congruent figures
  41. CC.1 SSS and SAS Theorems
  42. CC.2 ASA and AAS Theorems
  43. CC.3 SSS, SAS, ASA and AAS Theorems
  44. CC.4 SSS Theorem in the coordinate plane
  45. CC.5 Congruency in isosceles and equilateral triangles
  46. CC.6 Hypotenuse-Leg Theorem
  47. DD.1 Identify similar figures
  48. DD.2 Similarity ratios
  49. DD.3 Similarity statements
  50. DD.4 Side lengths and angle measures in similar figures
  51. DD.5 Similar triangles and indirect measurement
  52. DD.6 Perimeters of similar figures
  53. DD.7 Similarity rules for triangles
  54. DD.8 Similar triangles and similarity transformations
  55. DD.9 Areas of similar figures
  56. EE.1 Pythagoras' Theorem
  57. EE.2 Converse of Pythagoras' theorem
  58. EE.3 Pythagoras' Inequality Theorems
  59. EE.4 Special right triangles
  60. FF.3 Coterminal angles
  61. FF.4 Reference angles
  62. GG.1 Trigonometric ratios: sin, cos and tan
  63. GG.2 Trigonometric ratios: csc, sec and cot
  64. GG.3 Trigonometric ratios in similar right triangles
  65. GG.4 Find trigonometric ratios using the unit circle
  66. GG.5 Trigonometric functions of complementary angles
  67. GG.6 Sin, cos and tan of special angles
  68. GG.8 Find trigonometric functions using a calculator
  69. GG.9 Symmetry and periodicity of trigonometric functions
  70. GG.10 Inverses of sin, cos and tan
  71. GG.12 Solve trigonometric equations I
  72. GG.13 Solve trigonometric equations II
  73. GG.14 Trigonometric ratios: find a side length
  74. GG.15 Trigonometric ratios: find an angle measure
  75. GG.16 Solve a right triangle
  76. GG.17 Law of Sines
  77. GG.18 Law of Cosines
  78. GG.19 Solve a triangle
  79. HH.1 Parts of a circle
  80. HH.2 Central angles
  81. HH.3 Arc measure and arc length
  82. HH.4 Area of sectors
  83. HH.5 Circle measurements: mixed review
  84. HH.6 Arcs and chords
  85. HH.7 Tangent lines
  86. HH.8 Perimeter of polygons with an inscribed circle
  87. HH.9 Inscribed angles
  88. HH.10 Angles in inscribed right triangles
  89. HH.11 Angles in inscribed quadrilaterals
  90. II.1 Find the centre of a circle
  91. II.2 Find the radius or diameter of a circle
  92. II.3 Write equations of circles in standard form from graphs
  93. II.4 Write equations of circles in standard form using properties
  94. II.5 Convert equations of circles from general to standard form
  95. II.6 Find properties of circles from equations in general form
  96. II.7 Graph circles
  97. JJ.1 Introduction to surface area and volume
  98. JJ.2 Surface area of prisms and cylinders
  99. JJ.3 Surface area of pyramids and cones
  100. JJ.4 Volume of prisms and cylinders
  101. JJ.5 Volume of pyramids and cones
  102. JJ.6 Surface area and volume of spheres
  103. JJ.7 Introduction to similar solids
  104. JJ.8 Surface area and volume of similar solids
  105. JJ.9 Surface area and volume review
  106. KK.1 Translations: graph the image
  107. KK.2 Translations: find the coordinates
  108. KK.3 Translations: write the rule
  109. KK.4 Reflections: graph the image
  110. KK.5 Reflections: find the coordinates
  111. KK.6 Rotate polygons about a point
  112. KK.7 Rotations: graph the image
  113. KK.8 Rotations: find the coordinates
  114. KK.9 Classify congruence transformations
  115. KK.10 Compositions of congruence transformations: graph the image
  116. KK.11 Transformations that carry a polygon onto itself
  117. KK.12 Congruence transformations: mixed review
  118. KK.13 Dilations: graph the image
  119. KK.14 Dilations: find the coordinates
  120. KK.15 Dilations: scale factor and classification
  121. KK.16 Dilations and parallel lines
  122. LL.1 Line symmetry
  123. LL.2 Rotational symmetry
  124. LL.3 Count lines of symmetry
  125. LL.4 Draw lines of symmetry
  126. MM.6 Geometric probability

Year 12 skills

  1. A.4 Minimum and maximum area and volume
  2. A.6 Percent error: area and volume
  3. B.2 Midpoints
  4. B.3 Distance between two points
  5. B.4 Dilations and parallel lines
  6. R.1 Identify the direction a parabola opens
  7. R.2 Find the vertex of a parabola
  8. R.3 Find the focus or directrix of a parabola
  9. R.4 Find the axis of symmetry of a parabola
  10. R.5 Write equations of parabolas in vertex form from graphs
  11. R.6 Write equations of parabolas in vertex form using properties
  12. R.7 Convert equations of parabolas from general to vertex form
  13. R.8 Find properties of a parabola from equations in general form
  14. R.9 Graph parabolas
  15. S.1 Find the centre of a circle
  16. S.2 Find the radius or diameter of a circle
  17. S.3 Write equations of circles in standard form from graphs
  18. S.4 Write equations of circles in standard form using properties
  19. S.5 Convert equations of circles from general to standard form
  20. S.6 Find properties of circles from equations in general form
  21. S.7 Graph circles
  22. T.1 Find the centre, vertices or co-vertices of an ellipse
  23. T.2 Find the length of the major or minor axes of an ellipse
  24. T.3 Find the foci of an ellipse
  25. T.4 Write equations of ellipses in standard form from graphs
  26. T.5 Write equations of ellipses in standard form using properties
  27. T.6 Convert equations of ellipses from general to standard form
  28. T.7 Find properties of ellipses from equations in general form
  29. U.1 Find the centre of a hyperbola
  30. U.2 Find the vertices of a hyperbola
  31. U.3 Find the length of the transverse or conjugate axes of a hyperbola
  32. U.4 Find the equations for the asymptotes of a hyperbola
  33. U.5 Find the foci of a hyperbola
  34. U.6 Write equations of hyperbolas in standard form from graphs
  35. U.7 Write equations of hyperbolas in standard form using properties
  36. U.8 Convert equations of hyperbolas from general to standard form
  37. U.9 Find properties of hyperbolas from equations in general form
  38. V.1 Convert between radians and degrees
  39. V.2 Radians and arc length
  40. V.5 Coterminal angles
  41. V.6 Reference angles
  42. W.1 Pythagoras' Theorem and its converse
  43. W.2 Special right triangles
  44. W.3 Trigonometric ratios: sin, cos and tan
  45. W.4 Trigonometric ratios: csc, sec and cot
  46. W.5 Trigonometric ratios in similar right triangles
  47. W.6 Find trigonometric ratios using the unit circle
  48. W.7 Sin, cos and tan of special angles
  49. W.9 Find trigonometric functions using a calculator
  50. W.10 Inverses of sin, cos and tan
  51. W.12 Solve trigonometric equations I
  52. W.13 Solve trigonometric equations II
  53. W.14 Trigonometric ratios: find a side length
  54. W.15 Trigonometric ratios: find an angle measure
  55. W.16 Solve a right triangle
  56. W.17 Law of Sines
  57. W.18 Law of Cosines
  58. W.19 Solve a triangle
  59. W.20 Area of a triangle: sine formula
  60. W.21 Area of a triangle: Law of Sines
  61. Y.1 Complementary angle identities
  62. Y.2 Symmetry and periodicity of trigonometric functions
  63. Z.1 Introduction to surface area and volume
  64. Z.2 Surface area of prisms and cylinders
  65. Z.3 Surface area of pyramids and cones
  66. Z.4 Volume of prisms and cylinders
  67. Z.5 Volume of pyramids and cones
  68. Z.6 Surface area and volume of spheres
  69. Z.7 Introduction to similar solids
  70. Z.8 Surface area and volume of similar solids
  71. Z.9 Surface area and volume review
  72. BB.12 Geometric probability