Geometry

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

Class VII skills

  1. R.1 Identify and classify polygons
  2. R.2 Name, measure and classify angles
  3. R.3 Classify triangles
  4. R.4 Identify trapeziums
  5. R.5 Classify quadrilaterals
  6. R.6 Graph triangles and quadrilaterals
  7. R.7 Triangle angle-sum property
  8. R.8 Exterior angle property
  9. R.9 Find missing angles in triangles and quadrilaterals
  10. R.10 Interior angles of polygons
  11. R.11 Lines, line segments and half lines
  12. R.12 Parallel, perpendicular and intersecting lines
  13. R.13 Identify complementary, supplementary, vertical, adjacent and congruent angles
  14. R.14 Find measures of complementary, supplementary, vertical and adjacent angles
  15. R.15 Transversal of parallel lines
  16. R.16 Find lengths and measures of bisected line segments and angles
  17. R.17 Parts of a circle
  18. R.18 Symmetry
  19. S.1 Similar and congruent figures
  20. S.2 Side lengths and angle measures of congruent figures
  21. S.3 Congruence statements and corresponding parts
  22. S.4 Side lengths and angle measures of similar figures
  23. S.5 Similar figures and indirect measurement
  24. T.1 Construct the midpoint or perpendicular bisector of a segment
  25. T.2 Construct an angle bisector
  26. T.3 Construct a perpendicular line
  27. T.4 Construct parallel lines
  28. T.5 Construct an equilateral triangle or regular hexagon
  29. U.1 Pythagoras' theorem: find the length of the hypotenuse
  30. U.2 Pythagoras' theorem: find the missing leg length
  31. U.3 Pythagoras' theorem: word problems
  32. U.4 Converse of Pythagoras' theorem: is it a right triangle?
  33. V.1 Bases of three-dimensional figures
  34. V.2 Nets of three-dimensional figures
  35. V.3 Front, side and top view
  36. W.1 Perimeter
  37. W.2 Area of rectangles and parallelograms
  38. W.3 Area of triangles
  39. W.4 Area and perimeter: word problems
  40. W.5 Circles: calculate area, circumference, radius and diameter
  41. W.6 Circles: word problems
  42. W.7 Semicircles: calculate area, perimeter, radius and diameter
  43. W.8 Quarter circles: calculate area, perimeter and radius
  44. W.9 Area of compound figures with triangles, semicircles and quarter circles
  45. W.10 Area between two shapes
  46. W.11 Perimeter, area and volume: changes in scale

Class VIII skills

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

Class IX skills

  1. E.4 Minimum and maximum area and volume
  2. E.6 Percent error: area and volume
  3. F.1 Transversals: name angle pairs
  4. F.2 Transversals of parallel lines: find angle measures
  5. F.3 Identify complementary, supplementary, vertical, adjacent and congruent angles
  6. F.4 Find measures of complementary, supplementary, vertical and adjacent angles
  7. G.1 Classify triangles
  8. G.2 Triangle angle-sum property
  9. G.3 Exterior angle property
  10. G.4 Exterior angle inequality
  11. G.5 Angle-side relationships in triangles
  12. G.6 Triangle Inequality Theorem
  13. G.7 Midsegments of triangles
  14. G.8 SSS, SAS and ASA Theorems
  15. G.9 SSS Theorem in the coordinate plane
  16. G.10 Congruency in isosceles and equilateral triangles
  17. G.11 Hypotenuse-Leg Theorem
  18. H.1 Classify quadrilaterals
  19. H.2 Graph quadrilaterals
  20. H.3 Properties of parallelograms
  21. H.4 Proving a quadrilateral is a parallelogram
  22. H.5 Properties of rhombuses
  23. H.6 Properties of squares and rectangles
  24. H.7 Properties of trapeziums
  25. H.8 Properties of kites
  26. H.9 Review: properties of quadrilaterals
  27. I.1 Polygon vocabulary
  28. I.2 Interior angles of polygons
  29. I.3 Exterior angles of polygons
  30. I.4 Review: interior and exterior angles of polygons
  31. J.1 Perimeter
  32. J.2 Area of rectangles and squares
  33. J.3 Area of parallelograms and triangles
  34. J.4 Area of trapeziums
  35. J.5 Area and circumference of circles
  36. J.6 Area of compound figures
  37. J.7 Area between two shapes
  38. J.8 Area and perimeter mixed review
  39. J.9 Heron's formula
  40. K.1 Introduction to surface area and volume
  41. K.2 Surface area of prisms and cylinders
  42. K.3 Surface area of cones
  43. K.4 Volume of prisms and cylinders
  44. K.5 Volume of cones
  45. K.6 Surface area and volume of spheres
  46. K.7 Surface area and volume review
  47. L.1 Parts of a circle
  48. L.2 Central angles
  49. L.3 Arc measure and arc length
  50. L.4 Area of sectors
  51. L.5 Circle measurements: mixed review
  52. L.6 Arcs and chords
  53. L.7 Tangent lines
  54. L.8 Perimeter of polygons with an inscribed circle
  55. L.9 Inscribed angles
  56. L.10 Angles in inscribed right triangles
  57. L.11 Angles in inscribed quadrilaterals
  58. M.1 Construct the midpoint or perpendicular bisector of a segment
  59. M.2 Construct an angle bisector
  60. M.3 Construct a congruent angle
  61. M.4 Construct an equilateral triangle or regular hexagon
  62. Z.5 Add polynomials to find perimeter

Class X skills

  1. D.20 Find the distance between a point and a line
  2. D.21 Find the distance between two parallel lines
  3. H.5 Add polynomials to find perimeter
  4. L.1 Lines, line segments and half lines
  5. L.2 Lengths of segments on number lines
  6. L.3 Additive property of length
  7. L.4 Midpoints
  8. L.5 Congruent line segments
  9. L.6 Perpendicular Bisector Theorem
  10. L.7 Midpoint formula
  11. L.8 Distance formula
  12. M.1 Polygon vocabulary
  13. M.2 Perimeter
  14. M.3 Area of triangles and quadrilaterals
  15. M.4 Area and perimeter in the coordinate plane I
  16. M.5 Area and perimeter in the coordinate plane II
  17. M.6 Area and circumference of circles
  18. M.7 Area of compound figures
  19. M.8 Area between two shapes
  20. M.9 Area and perimeter of similar figures
  21. N.1 Translations: find the coordinates
  22. N.2 Reflections: find the coordinates
  23. N.3 Rotations: find the coordinates
  24. N.4 Congruence transformations
  25. N.5 Compositions of congruence transformations: graph the image
  26. N.6 Transformations that carry a polygon onto itself
  27. N.7 Dilations: graph the image
  28. N.8 Dilations: find the coordinates
  29. N.9 Dilations: scale factor and classification
  30. N.10 Dilations and parallel lines
  31. O.1 Classify triangles
  32. O.2 Triangle Angle-Sum Theorem
  33. O.3 Midsegments of triangles
  34. O.4 Triangles and bisectors
  35. O.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
  36. O.6 Angle-side relationships in triangles
  37. O.7 Triangle Inequality Theorem
  38. P.1 Identify similar figures
  39. P.2 Similarity ratios
  40. P.3 Similarity statements
  41. P.4 Side lengths and angle measures in similar figures
  42. P.5 Similar triangles and indirect measurement
  43. P.6 Perimeters of similar figures
  44. P.7 Similarity rules for triangles
  45. P.8 Similar triangles and similarity transformations
  46. P.9 Areas of similar figures
  47. Q.1 Pythagoras' Theorem
  48. Q.2 Converse of Pythagoras' theorem
  49. Q.3 Pythagoras' Inequality Theorems
  50. Q.4 Special right triangles
  51. R.1 Parts of a circle
  52. R.2 Central angles
  53. R.3 Arc measure and arc length
  54. R.4 Area of sectors
  55. R.5 Circle measurements: mixed review
  56. R.6 Arcs and chords
  57. R.7 Tangent lines
  58. R.8 Perimeter of polygons with an inscribed circle
  59. R.9 Inscribed angles
  60. R.10 Angles in inscribed right triangles
  61. R.11 Angles in inscribed quadrilaterals
  62. S.1 Trigonometric ratios: sin, cos and tan
  63. S.2 Trigonometric ratios: csc, sec and cot
  64. S.3 Trigonometric functions of complementary angles
  65. S.4 Find trigonometric functions of special angles
  66. S.5 Find trigonometric functions using a calculator
  67. S.6 Inverses of trigonometric functions
  68. S.7 Trigonometric ratios: find a side length
  69. S.8 Trigonometric ratios: find an angle measure
  70. S.9 Solve a right triangle
  71. T.1 Introduction to surface area and volume
  72. T.2 Surface area of prisms and cylinders
  73. T.3 Surface area of cones
  74. T.4 Volume of prisms and cylinders
  75. T.5 Volume of cones
  76. T.6 Surface area and volume of spheres
  77. T.7 Introduction to similar solids
  78. T.8 Surface area and volume of similar solids
  79. T.9 Surface area and volume review
  80. U.4 Minimum and maximum area and volume
  81. U.6 Percent error: area and volume
  82. X.6 Geometric probability
  83. AA.1 Construct a tangent line to a circle
  84. AA.2 Construct an equilateral triangle inscribed in a circle
  85. AA.3 Construct a regular hexagon inscribed in a circle
  86. AA.4 Construct the circumcenter or incenter of a triangle
  87. AA.5 Construct the inscribed or circumscribed circle of a triangle

Class XI skills

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

Class XII skills

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