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. AA.1 Identify and classify polygons
  2. AA.2 Measure and classify angles
  3. AA.3 Types of angles
  4. AA.4 Estimate angle measurements
  5. AA.5 Classify triangles
  6. AA.6 Identify trapeziums
  7. AA.7 Classify quadrilaterals
  8. AA.8 Graph triangles and quadrilaterals
  9. AA.9 Find missing angles in triangles and quadrilaterals
  10. AA.10 Sums of angles in polygons
  11. AA.11 Lines, line segments and rays
  12. AA.12 Name angles
  13. AA.13 Complementary and supplementary angles
  14. AA.14 Transversal of parallel lines
  15. AA.15 Find lengths and measures of bisected line segments and angles
  16. AA.16 Parts of a circle
  17. AA.17 Central angles of circles
  18. BB.1 Symmetry
  19. BB.2 Reflection, rotation and translation
  20. BB.3 Translations: graph the image
  21. BB.4 Reflections: graph the image
  22. BB.5 Rotations: graph the image
  23. BB.6 Similar and congruent figures
  24. BB.7 Find side lengths of similar figures
  25. CC.1 Construct the midpoint or perpendicular bisector of a segment
  26. CC.2 Construct an angle bisector
  27. CC.3 Construct a congruent angle
  28. CC.4 Construct a perpendicular line
  29. CC.5 Construct parallel lines
  30. CC.6 Construct an equilateral triangle or regular hexagon
  31. DD.1 Identify polyhedra
  32. DD.2 Which figure is being described?
  33. DD.3 Nets of three-dimensional figures
  34. DD.4 Front, side and top view
  35. EE.1 Perimeter
  36. EE.2 Area of figures made of unit squares
  37. EE.3 Area of squares and rectangles
  38. EE.4 Area of triangles
  39. EE.5 Area of parallelograms and trapeziums
  40. EE.6 Radius, diameter, circumference and area of a circle
  41. EE.7 Area of compound figures
  42. EE.8 Area between two rectangles
  43. EE.9 Area between two triangles
  44. EE.10 Area between two circles
  45. EE.11 Area and perimeter of figures on grids
  46. EE.12 Area and perimeter: word problems
  47. EE.13 Rectangles: relationship between perimeter and area
  48. EE.14 Compare area and perimeter of two figures
  49. EE.15 Volume of figures made of unit cubes
  50. EE.16 Volume and surface area of cubes and rectangular prisms
  51. EE.17 Volume and surface area of triangular prisms

Year 8 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 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 and trapeziums
  42. AA.4 Area and perimeter: word problems
  43. AA.5 Circles: calculate area, circumference, radius and diameter
  44. AA.6 Circles: word problems
  45. AA.7 Semicircles: calculate area, perimeter, radius and diameter
  46. AA.8 Quarter circles: calculate area, perimeter and radius
  47. AA.9 Area of compound figures with triangles, semicircles and quarter circles
  48. AA.10 Area between two shapes
  49. AA.11 Volume
  50. AA.12 Surface area
  51. AA.13 Perimeter, area and volume: changes in scale
  52. AA.14 Volume and surface area of triangular prisms

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. P.11 Congruent triangles: SSS, SAS and ASA
  25. Q.1 Similar and congruent figures
  26. Q.2 Dilations: graph the image
  27. Q.3 Dilations: find the coordinates
  28. Q.4 Dilations: scale factor and classification
  29. Q.5 Side lengths and angle measures of similar figures
  30. R.1 Construct the midpoint or perpendicular bisector of a segment
  31. R.2 Construct an angle bisector
  32. R.3 Construct a congruent angle
  33. R.4 Construct a perpendicular line
  34. R.5 Construct parallel lines
  35. R.6 Construct an equilateral triangle or regular hexagon
  36. S.1 Pythagoras' theorem: find the length of the hypotenuse
  37. S.2 Pythagoras' theorem: find the missing leg length
  38. S.3 Pythagoras' theorem: find the perimeter
  39. S.4 Pythagoras' theorem: word problems
  40. S.5 Converse of Pythagoras' theorem: is it a right triangle?
  41. T.1 Parts of three-dimensional figures
  42. T.2 Nets of three-dimensional figures
  43. T.3 Front, side and top view
  44. T.4 Base plans
  45. T.5 Similar solids
  46. U.1 Perimeter
  47. U.2 Area
  48. U.3 Area and perimeter: word problems
  49. U.4 Area between two shapes
  50. U.5 Circles, semicircles and quarter circles
  51. U.6 Circles: word problems
  52. U.7 Volume
  53. U.8 Surface area of prisms and cylinders
  54. U.9 Volume and surface area of similar solids
  55. U.10 Perimeter, area and volume: changes in scale
  56. BB.5 Add polynomials to find perimeter
  57. BB.13 Multiply polynomials to find area

Year 11 skills

  1. C.2 Midpoints
  2. C.3 Distance between two points
  3. H.24 Find the distance between a point and a line
  4. H.25 Find the distance between two parallel lines
  5. L.5 Add polynomials to find perimeter
  6. O.7 Find the vertex of a parabola
  7. T.1 Classify triangles
  8. T.2 Triangle Angle-Sum Theorem
  9. T.3 Exterior Angle Theorem
  10. T.4 Exterior Angle Inequality
  11. U.1 Polygon vocabulary
  12. U.2 Interior angles of polygons
  13. U.3 Exterior angles of polygons
  14. U.4 Review: interior and exterior angles of polygons
  15. V.1 Three-dimensional figure vocabulary
  16. V.2 Parts of three-dimensional figures
  17. V.3 Nets and drawings of three-dimensional figures
  18. V.4 Cross-sections of three-dimensional figures
  19. V.5 Solids of revolution
  20. W.1 Congruence statements and corresponding parts
  21. W.2 Solve problems involving corresponding parts
  22. W.3 Identify congruent figures
  23. X.1 SSS and SAS Theorems
  24. X.2 ASA and AAS Theorems
  25. X.3 SSS, SAS, ASA and AAS Theorems
  26. X.4 SSS Theorem in the coordinate plane
  27. X.5 Congruency in isosceles and equilateral triangles
  28. X.6 Hypotenuse-Leg Theorem
  29. Y.1 Midsegments of triangles
  30. Y.2 Triangles and bisectors
  31. Y.3 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  32. Y.4 Angle-side relationships in triangles
  33. Y.5 Triangle Inequality Theorem
  34. Z.1 Identify trapeziums
  35. Z.2 Classify quadrilaterals
  36. Z.3 Graph quadrilaterals
  37. Z.4 Properties of parallelograms
  38. Z.5 Proving a quadrilateral is a parallelogram
  39. Z.6 Properties of rhombuses
  40. Z.7 Properties of squares and rectangles
  41. Z.8 Properties of trapeziums
  42. Z.9 Properties of kites
  43. Z.10 Review: properties of quadrilaterals
  44. AA.1 Translations: graph the image
  45. AA.2 Translations: find the coordinates
  46. AA.3 Translations: write the rule
  47. AA.4 Reflections: graph the image
  48. AA.5 Reflections: find the coordinates
  49. AA.6 Rotate polygons about a point
  50. AA.7 Rotations: graph the image
  51. AA.8 Rotations: find the coordinates
  52. AA.9 Classify congruence transformations
  53. AA.10 Compositions of congruence transformations: graph the image
  54. AA.11 Transformations that carry a polygon onto itself
  55. AA.12 Congruence transformations: mixed review
  56. AA.13 Dilations: graph the image
  57. AA.14 Dilations: find the coordinates
  58. AA.15 Dilations: scale factor and classification
  59. AA.16 Dilations and parallel lines
  60. BB.1 Identify similar figures
  61. BB.2 Similarity ratios
  62. BB.3 Similarity statements
  63. BB.4 Side lengths and angle measures in similar figures
  64. BB.5 Similar triangles and indirect measurement
  65. BB.6 Perimeters of similar figures
  66. BB.7 Similarity rules for triangles
  67. BB.8 Similar triangles and similarity transformations
  68. BB.9 Areas of similar figures
  69. CC.1 Pythagoras' Theorem
  70. CC.2 Converse of Pythagoras' theorem
  71. CC.3 Pythagoras' Inequality Theorems
  72. CC.4 Special right triangles
  73. DD.1 Trigonometric ratios: sin, cos and tan
  74. DD.2 Trigonometric ratios: csc, sec and cot
  75. DD.3 Find trigonometric functions of special angles
  76. DD.4 Find trigonometric functions using a calculator
  77. DD.5 Inverses of trigonometric functions
  78. DD.6 Trigonometric ratios: find a side length
  79. DD.7 Trigonometric ratios: find an angle measure
  80. DD.8 Solve a right triangle
  81. EE.1 Perimeter
  82. EE.2 Area of triangles and quadrilaterals
  83. EE.3 Area and perimeter in the coordinate plane I
  84. EE.4 Area and perimeter in the coordinate plane II
  85. EE.5 Area and circumference of circles
  86. EE.6 Area of compound figures
  87. EE.7 Area between two shapes
  88. EE.8 Area and perimeter of similar figures
  89. FF.1 Parts of a circle
  90. FF.2 Central angles
  91. FF.3 Arc measure and arc length
  92. FF.4 Area of sectors
  93. FF.5 Circle measurements: mixed review
  94. FF.6 Arcs and chords
  95. FF.7 Tangent lines
  96. FF.8 Perimeter of polygons with an inscribed circle
  97. FF.9 Inscribed angles
  98. FF.10 Angles in inscribed right triangles
  99. FF.11 Angles in inscribed quadrilaterals
  100. FF.12 Write equations of circles in standard form from graphs
  101. GG.1 Introduction to surface area and volume
  102. GG.2 Surface area of prisms and cylinders
  103. GG.3 Surface area of pyramids and cones
  104. GG.4 Volume of prisms and cylinders
  105. GG.5 Volume of pyramids and cones
  106. GG.6 Surface area and volume of spheres
  107. GG.7 Introduction to similar solids
  108. GG.8 Surface area and volume of similar solids
  109. GG.9 Surface area and volume review
  110. II.8 Minimum and maximum area and volume
  111. II.10 Percent error: area and volume
  112. JJ.6 Geometric probability

Year 12 skills

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

Year 13 skills

  1. J.1 Convert between radians and degrees
  2. J.2 Radians and arc length
  3. J.4 Coterminal and reference angles
  4. J.5 Find trigonometric ratios using right triangles
  5. J.6 Find trigonometric ratios using the unit circle
  6. J.9 Inverses of sin, cos and tan
  7. J.10 Inverses of csc, sec and cot
  8. J.11 Solve trigonometric equations
  9. J.12 Trigonometric ratios: find a side length
  10. J.13 Trigonometric ratios: find an angle measure
  11. J.14 Solve a right triangle
  12. J.15 Law of Sines
  13. J.16 Law of Cosines
  14. J.17 Solve a triangle
  15. J.18 Area of a triangle: sine formula
  16. J.19 Area of a triangle: Heron's formula
  17. L.1 Complementary angle identities
  18. L.2 Symmetry and periodicity of trigonometric functions
  19. M.1 Find properties of parabolas
  20. M.2 Write equations of parabolas in vertex form
  21. M.3 Graph parabolas
  22. M.4 Find properties of circles
  23. M.5 Write equations of circles in standard form
  24. M.6 Graph circles
  25. N.1 Find the magnitude of a vector
  26. N.2 Find the direction angle of a vector
  27. N.3 Find the component form of a vector
  28. N.4 Find the component form of a vector from its magnitude and direction angle
  29. N.5 Find a unit vector
  30. N.6 Add and subtract vectors
  31. N.7 Multiply a vector by a scalar
  32. N.8 Find the magnitude or direction of a vector scalar multiple
  33. N.9 Find the magnitude and direction of a vector sum
  34. N.10 Linear combinations of vectors
  35. N.11 Graph a resultant vector using the triangle method
  36. N.12 Graph a resultant vector using the parallelogram method
  37. O.1 Find the magnitude of a three-dimensional vector
  38. O.2 Find the component form of a three-dimensional vector
  39. O.3 Find a three-dimensional unit vector
  40. O.4 Add and subtract three-dimensional vectors
  41. O.5 Scalar multiples of three-dimensional vectors
  42. O.6 Linear combinations of three-dimensional vectors