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 7 skills

  1. P.4 Distance between two points
  2. U.1 Identify and classify polygons
  3. U.2 Name, measure and classify angles
  4. U.3 Classify triangles
  5. U.4 Identify trapeziums
  6. U.5 Classify quadrilaterals
  7. U.6 Graph triangles and quadrilaterals
  8. U.7 Find missing angles in triangles and quadrilaterals
  9. U.8 Interior angles of polygons
  10. U.9 Lines, intervals and rays
  11. U.10 Parallel, perpendicular and intersecting lines
  12. U.11 Construct parallel lines
  13. U.12 Construct the midpoint or perpendicular bisector of a segment
  14. U.13 Construct a perpendicular line
  15. U.14 Identify complementary, supplementary, vertical, adjacent and congruent angles
  16. U.15 Find measures of complementary, supplementary, vertical and adjacent angles
  17. U.16 Transversal of parallel lines
  18. U.17 Find lengths and measures of bisected line segments and angles
  19. U.18 Parts of a circle
  20. V.1 Symmetry
  21. V.2 Identify reflections, rotations and translations
  22. V.3 Translations: graph the image
  23. V.4 Translations: find the coordinates
  24. V.5 Reflections: graph the image
  25. V.6 Reflections: find the coordinates
  26. V.7 Rotations: graph the image
  27. V.8 Rotations: find the coordinates
  28. V.9 Similar and congruent figures
  29. V.10 Side lengths and angle measures of congruent figures
  30. V.11 Congruence statements and corresponding parts
  31. V.12 Side lengths and angle measures of similar figures
  32. V.13 Similar figures and indirect measurement
  33. W.1 Bases of three-dimensional figures
  34. W.2 Nets of three-dimensional figures
  35. W.3 Front, side and top view
  36. X.1 Perimeter
  37. X.2 Area of rectangles and parallelograms
  38. X.3 Area of triangles
  39. X.4 Area between two shapes
  40. X.5 Area and perimeter: word problems
  41. X.6 Volume

Year 8 skills

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

Year 10 skills

  1. C.2 Midpoints
  2. C.3 Distance between two points
  3. G.24 Find the distance between a point and a line
  4. G.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 of a hyperbola
  16. T.2 Find the vertices of a hyperbola
  17. T.3 Find the length of the transverse or conjugate axes of a hyperbola
  18. T.4 Find the equations for the asymptotes of a hyperbola
  19. T.5 Find the foci of a hyperbola
  20. T.6 Write equations of hyperbolas in standard form from graphs
  21. T.7 Write equations of hyperbolas in standard form using properties
  22. T.8 Convert equations of hyperbolas from general to standard form
  23. T.9 Find properties of hyperbolas from equations in general form
  24. X.1 Classify triangles
  25. X.2 Polygon vocabulary
  26. X.3 Triangle Angle-Sum Theorem
  27. X.4 Perimeter
  28. X.5 Area of triangles and quadrilaterals
  29. X.6 Area and perimeter in the coordinate plane I
  30. X.7 Area and perimeter in the coordinate plane II
  31. X.8 Area and circumference of circles
  32. X.9 Area of compound figures
  33. X.10 Area between two shapes
  34. X.11 Area and perimeter of similar figures
  35. Y.4 Proofs involving angles
  36. Y.5 Proofs involving parallel lines I
  37. Y.6 Proofs involving parallel lines II
  38. Z.2 Congruence statements and corresponding parts
  39. Z.3 Solve problems involving corresponding parts
  40. Z.4 Identify congruent figures
  41. AA.1 SSS and SAS Theorems
  42. AA.2 ASA and AAS Theorems
  43. AA.3 SSS, SAS, ASA and AAS Theorems
  44. AA.4 SSS Theorem in the coordinate plane
  45. AA.5 Congruency in isosceles and equilateral triangles
  46. AA.6 Hypotenuse-Leg Theorem
  47. AA.7 Proving triangles congruent by SSS and SAS
  48. AA.8 Proving triangles congruent by ASA and AAS
  49. AA.9 Proving triangles congruent by SSS, SAS, ASA and AAS
  50. AA.10 Proofs involving corresponding parts of congruent triangles
  51. AA.11 Proofs involving isosceles triangles
  52. BB.1 Identify similar figures
  53. BB.2 Similarity ratios
  54. BB.3 Similarity statements
  55. BB.4 Side lengths and angle measures in similar figures
  56. BB.5 Similar triangles and indirect measurement
  57. BB.6 Perimeters of similar figures
  58. BB.7 Similarity rules for triangles
  59. BB.8 Similar triangles and similarity transformations
  60. BB.9 Similarity of circles
  61. BB.10 Areas of similar figures
  62. BB.11 Proofs involving triangles I
  63. BB.12 Proofs involving triangles II
  64. CC.1 Pythagoras' Theorem
  65. CC.2 Converse of Pythagoras' theorem
  66. CC.3 Pythagoras' Inequality Theorems
  67. CC.4 Special right triangles
  68. DD.3 Coterminal angles
  69. DD.4 Reference angles
  70. EE.1 Trigonometric ratios: sin, cos and tan
  71. EE.2 Trigonometric ratios: csc, sec and cot
  72. EE.3 Trigonometric ratios in similar right triangles
  73. EE.4 Find trigonometric ratios using the unit circle
  74. EE.5 Trigonometric functions of complementary angles
  75. EE.6 Sin, cos and tan of special angles
  76. EE.8 Find trigonometric functions using a calculator
  77. EE.9 Symmetry and periodicity of trigonometric functions
  78. EE.10 Inverses of sin, cos and tan
  79. EE.12 Solve trigonometric equations I
  80. EE.13 Solve trigonometric equations II
  81. EE.14 Trigonometric ratios: find a side length
  82. EE.15 Trigonometric ratios: find an angle measure
  83. EE.16 Solve a right triangle
  84. EE.17 Law of Sines
  85. EE.18 Law of Cosines
  86. EE.19 Solve a triangle
  87. EE.20 Area of a triangle: sine formula
  88. EE.21 Area of a triangle: Law of Sines
  89. FF.1 Introduction to surface area and volume
  90. FF.2 Surface area of prisms and cylinders
  91. FF.3 Surface area of pyramids and cones
  92. FF.4 Volume of prisms and cylinders
  93. FF.5 Volume of pyramids and cones
  94. FF.6 Surface area and volume of spheres
  95. FF.7 Introduction to similar solids
  96. FF.8 Surface area and volume of similar solids
  97. FF.9 Surface area and volume review
  98. GG.1 Parts of a circle
  99. GG.2 Central angles
  100. GG.3 Arc measure and arc length
  101. GG.4 Area of sectors
  102. GG.5 Circle measurements: mixed review
  103. GG.6 Arcs and chords
  104. GG.7 Tangent lines
  105. GG.8 Perimeter of polygons with an inscribed circle
  106. GG.9 Inscribed angles
  107. GG.10 Angles in inscribed right triangles
  108. GG.11 Angles in inscribed quadrilaterals
  109. HH.1 Find the centre of a circle
  110. HH.2 Find the radius or diameter of a circle
  111. HH.3 Write equations of circles in standard form from graphs
  112. HH.4 Write equations of circles in standard form using properties
  113. HH.5 Convert equations of circles from general to standard form
  114. HH.6 Find properties of circles from equations in general form
  115. HH.7 Graph circles
  116. JJ.6 Geometric probability

Year 11 skills

  1. F.2 Midpoints
  2. F.3 Distance between two points
  3. S.1 Identify the direction a parabola opens
  4. S.2 Find the vertex of a parabola
  5. S.3 Find the focus or directrix of a parabola
  6. S.4 Find the axis of symmetry of a parabola
  7. S.5 Write equations of parabolas in vertex form from graphs
  8. S.6 Write equations of parabolas in vertex form using properties
  9. S.7 Convert equations of parabolas from general to vertex form
  10. S.8 Find properties of a parabola from equations in general form
  11. S.9 Graph parabolas
  12. T.1 Find the centre of a hyperbola
  13. T.2 Find the vertices of a hyperbola
  14. T.3 Find the length of the transverse or conjugate axes of a hyperbola
  15. T.4 Find the equations for the asymptotes of a hyperbola
  16. T.5 Find the foci of a hyperbola
  17. T.6 Write equations of hyperbolas in standard form from graphs
  18. T.7 Write equations of hyperbolas in standard form using properties
  19. T.8 Convert equations of hyperbolas from general to standard form
  20. T.9 Find properties of hyperbolas from equations in general form
  21. U.1 Convert between radians and degrees
  22. U.2 Radians and arc length
  23. U.5 Coterminal angles
  24. U.6 Reference angles
  25. V.1 Pythagoras' Theorem and its converse
  26. V.2 Special right triangles
  27. V.3 Trigonometric ratios: sin, cos and tan
  28. V.4 Trigonometric ratios: csc, sec and cot
  29. V.5 Trigonometric ratios in similar right triangles
  30. V.6 Find trigonometric ratios using the unit circle
  31. V.7 Sin, cos and tan of special angles
  32. V.9 Find trigonometric functions using a calculator
  33. V.10 Inverses of sin, cos and tan
  34. V.12 Solve trigonometric equations I
  35. V.13 Solve trigonometric equations II
  36. V.14 Trigonometric ratios: find a side length
  37. V.15 Trigonometric ratios: find an angle measure
  38. V.16 Solve a right triangle
  39. V.17 Law of Sines
  40. V.18 Law of Cosines
  41. V.19 Solve a triangle
  42. V.20 Area of a triangle: sine formula
  43. V.21 Area of a triangle: Law of Sines
  44. X.1 Complementary angle identities
  45. X.2 Symmetry and periodicity of trigonometric functions
  46. Y.1 Perimeter and circumference
  47. Y.2 Area of polygons and circles
  48. Y.3 Area and perimeter in the coordinate plane
  49. Z.1 Introduction to surface area and volume
  50. Z.2 Surface area of prisms and cylinders
  51. Z.3 Surface area of pyramids and cones
  52. Z.4 Volume of prisms and cylinders
  53. Z.5 Volume of pyramids and cones
  54. Z.6 Surface area and volume of spheres
  55. Z.7 Introduction to similar solids
  56. Z.8 Surface area and volume of similar solids
  57. Z.9 Surface area and volume review
  58. AA.1 Classify quadrilaterals
  59. AA.2 Graph quadrilaterals
  60. AA.3 Properties of parallelograms
  61. AA.4 Proving a quadrilateral is a parallelogram
  62. AA.5 Properties of rhombuses
  63. AA.6 Properties of squares and rectangles
  64. AA.7 Properties of trapeziums
  65. AA.8 Properties of kites
  66. AA.9 Review: properties of quadrilaterals
  67. BB.1 Similarity ratios and statements
  68. BB.2 Side lengths and angle measures in similar figures
  69. BB.3 Perimeters of similar figures
  70. BB.4 Areas of similar figures
  71. BB.5 Similar triangles and similarity transformations
  72. BB.6 Similarity of circles
  73. CC.1 Parts of a circle
  74. CC.2 Central angles
  75. CC.3 Arc measure and arc length
  76. CC.4 Area of sectors
  77. CC.5 Circle measurements: mixed review
  78. CC.6 Arcs and chords
  79. CC.7 Tangent lines
  80. CC.8 Perimeter of polygons with an inscribed circle
  81. CC.9 Inscribed angles
  82. CC.10 Angles in inscribed right triangles
  83. CC.11 Angles in inscribed quadrilaterals
  84. DD.1 Find the centre of a circle
  85. DD.2 Find the radius or diameter of a circle
  86. DD.3 Write equations of circles in standard form from graphs
  87. DD.4 Write equations of circles in standard form using properties
  88. DD.5 Convert equations of circles from general to standard form
  89. DD.6 Find properties of circles from equations in general form
  90. DD.7 Graph circles
  91. GG.13 Geometric probability

Year 12 skills

  1. L.1 Convert between radians and degrees
  2. L.2 Radians and arc length
  3. L.4 Coterminal and reference angles
  4. L.5 Find trigonometric ratios using right triangles
  5. L.6 Find trigonometric ratios using the unit circle
  6. L.8 Inverses of trigonometric functions
  7. L.9 Solve trigonometric equations
  8. L.10 Trigonometric ratios: find a side length
  9. L.11 Trigonometric ratios: find an angle measure
  10. L.12 Solve a right triangle
  11. L.13 Law of Sines
  12. L.14 Law of Cosines
  13. L.15 Solve a triangle
  14. L.16 Area of a triangle: sine formula
  15. L.17 Area of a triangle: Heron's formula
  16. N.1 Complementary angle identities
  17. N.2 Symmetry and periodicity of trigonometric functions
  18. O.1 Find properties of parabolas
  19. O.2 Write equations of parabolas in vertex form
  20. O.3 Graph parabolas
  21. O.4 Find properties of circles
  22. O.5 Write equations of circles in standard form
  23. O.6 Graph circles
  24. O.7 Find properties of ellipses
  25. O.8 Find the eccentricity of an ellipse
  26. O.9 Write equations of ellipses in standard form
  27. O.10 Find properties of hyperbolas
  28. O.11 Find the eccentricity of a hyperbola
  29. O.12 Write equations of hyperbolas in standard form
  30. O.13 Convert equations of conic sections from general to standard form
  31. Q.8 Distance in the complex plane
  32. S.1 Find the magnitude of a vector
  33. S.2 Find the direction angle of a vector
  34. S.3 Find the component form of a vector
  35. S.4 Find the component form of a vector from its magnitude and direction angle
  36. S.5 Find a unit vector
  37. S.6 Add and subtract vectors
  38. S.7 Multiply a vector by a scalar
  39. S.8 Find the magnitude or direction of a vector scalar multiple
  40. S.9 Find the magnitude and direction of a vector sum
  41. S.10 Linear combinations of vectors
  42. S.11 Graph a resultant vector using the triangle method
  43. S.12 Graph a resultant vector using the parallelogram method
  44. T.1 Find the magnitude of a three-dimensional vector
  45. T.2 Find the component form of a three-dimensional vector
  46. T.3 Find a three-dimensional unit vector
  47. T.4 Add and subtract three-dimensional vectors
  48. T.5 Scalar multiples of three-dimensional vectors
  49. T.6 Linear combinations of three-dimensional vectors