# 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!

## Kindergarten 2 skills

- G.1 Inside and outside
- G.2 Above and below
- G.3 Above and below - find solid figures
- G.4 Beside and next to
- G.5 Beside and next to - find solid figures
- G.6 Left, middle and right
- G.7 Top, middle and bottom
- G.8 Location in a grid
- M.7 Count shapes in a Venn diagram
- Q.1 Name the two-dimensional shape
- Q.2 Circles
- Q.3 Squares and rectangles
- Q.4 Hexagons
- Q.5 Select two-dimensional shapes
- Q.6 Count sides and corners
- Q.7 Compare sides and corners
- Q.8 Introduction to symmetry
- Q.9 Identify pictures with symmetry
- Q.10 Identify shapes traced from solids

## Primary 1 skills

- M.1 Name the two-dimensional shape
- M.2 Select two-dimensional shapes
- M.3 Count sides and vertices
- M.4 Compare sides and vertices
- M.5 Identify shapes traced from solids
- M.6 Open and closed shapes
- M.7 Flip, turn and slide
- N.1 Above and below
- N.2 Beside and next to
- N.3 Left, middle and right
- N.4 Top, middle and bottom
- N.5 Location in a grid
- T.2 Count shapes in a Venn diagram

## Primary 2 skills

- P.10 Sort shapes into a Venn diagram
- P.11 Count shapes in a Venn diagram
- Q.1 Name the two-dimensional shape
- Q.2 Select two-dimensional shapes
- Q.3 Count sides and vertices
- Q.4 Compare sides and vertices
- Q.5 Name the three-dimensional shape
- Q.6 Select three-dimensional shapes
- Q.7 Count vertices, edges and faces
- Q.8 Compare vertices, edges and faces
- Q.9 Flip, turn and slide
- Q.10 Area
- Q.11 Create figures with a given area

## Primary 3 skills

- I.9 Sort shapes into a Venn diagram
- I.10 Count shapes in a Venn diagram
- M.1 Identify two-dimensional shapes
- M.2 Count and compare sides and vertices
- M.3 Identify three-dimensional shapes
- M.4 Count vertices, edges and faces
- M.5 Identify faces of three-dimensional shapes
- M.6 Is it a polygon?
- M.7 Angles greater than, less than or equal to a right angle
- M.8 Fractions of a turn
- M.9 Parallel and perpendicular lines
- N.1 Perimeter of rectangles
- N.2 Perimeter of polygons
- N.3 Perimeter of rectilinear shapes
- N.4 Perimeter: find the missing side length
- N.5 Perimeter: word problems
- N.6 Find the area of figures made of unit squares
- N.7 Select figures with a given area
- N.8 Select two figures with the same area
- N.9 Create figures with a given area
- N.10 Find the area of rectangles and squares
- N.11 Find the missing side length of a rectangle
- N.12 Find the area of rectangles: word problems

## Primary 4 skills

- M.1 Which two-dimensional figure is being described?
- M.2 Identify three-dimensional figures
- M.3 Count vertices, edges and faces
- M.4 Identify faces of three-dimensional figures
- M.5 Which three-dimensional figure is being described?
- M.6 Is it a polygon?
- M.7 Number of sides in polygons
- M.8 Parallel, perpendicular and intersecting lines
- M.9 Acute, right, obtuse and straight angles
- M.10 Angles of 90, 180, 270 and 360 degrees
- M.11 Measure angles with a protractor
- M.12 Estimate angle measurements
- M.13 Symmetry
- M.14 Identify lines of symmetry
- N.1 Perimeter
- N.2 Perimeter: find the missing side lengths
- N.3 Find the area of figures made of unit squares
- N.4 Select figures with a given area
- N.5 Select two figures with the same area
- N.6 Create figures with a given area
- N.7 Find the area or missing side length of a rectangle
- N.8 Find the area of complex figures
- N.9 Find the area between two rectangles
- N.10 Compare area and perimeter of two figures
- N.11 Relationship between area and perimeter
- N.12 Area and perimeter: word problems
- N.13 Use area and perimeter to determine cost

## Primary 5 skills

- V.1 Which figure is being described?
- V.2 Is it a polygon?
- V.3 Number of sides in polygons
- V.4 Regular and irregular polygons
- V.5 Parallel, perpendicular and intersecting lines
- V.6 Types of angles
- V.7 Measure angles with a protractor
- V.8 Identify complementary, supplementary, vertical, adjacent and congruent angles
- V.9 Find measures of complementary, supplementary, vertical and adjacent angles
- V.10 Central angles of circles
- V.11 Classify triangles
- V.12 Parallel sides in quadrilaterals
- V.13 Identify parallelograms
- V.14 Identify trapeziums
- V.15 Identify rectangles
- V.16 Identify rhombuses
- V.17 Classify quadrilaterals
- V.18 Find the unknown angle in triangles and quadrilaterals
- V.19 Parts of a circle
- V.20 Lines of symmetry
- V.21 Rotational symmetry
- V.22 Identify three-dimensional figures
- V.23 Count vertices, edges and faces
- V.24 Three-dimensional figures viewed from different perspectives
- W.1 Perimeter with whole number side lengths
- W.2 Perimeter with decimal side lengths
- W.3 Area of squares and rectangles
- W.4 Area of triangles
- W.5 Area of rectilinear figures
- W.6 Area between two rectangles
- W.7 Area and perimeter of figures on grids
- W.8 Area and perimeter: word problems
- W.9 Use area and perimeter to determine cost
- W.10 Volume of figures made of unit cubes
- W.11 Volume of cubes and rectangular prisms

## Primary 6 skills

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

## Secondary 1 skills

- P.4 Distance between two points
- W.1 Identify and classify polygons
- W.2 Name, measure and classify angles
- W.3 Classify triangles
- W.4 Identify trapeziums
- W.5 Classify quadrilaterals
- W.6 Graph triangles and quadrilaterals
- W.7 Find missing angles in triangles and quadrilaterals
- W.8 Interior angles of polygons
- W.9 Exterior angles of polygons
- W.10 Lines, line segments and rays
- W.11 Parallel, perpendicular and intersecting lines
- W.12 Identify complementary, supplementary, vertical, adjacent and congruent angles
- W.13 Find measures of complementary, supplementary, vertical and adjacent angles
- W.14 Transversal of parallel lines
- W.15 Find lengths and measures of bisected line segments and angles
- W.16 Central angles of circles
- W.17 Parts of a circle
- W.18 Symmetry
- X.1 Similar and congruent figures
- X.2 Side lengths and angle measures of congruent figures
- X.3 Congruence statements and corresponding parts
- X.4 Side lengths and angle measures of similar figures
- X.5 Similar figures and indirect measurement
- Y.1 Construct the midpoint or perpendicular bisector of a segment
- Y.2 Construct an angle bisector
- Y.3 Construct a congruent angle
- Y.4 Construct a perpendicular line
- Y.5 Construct parallel lines
- Y.6 Construct an equilateral triangle or regular hexagon
- Z.1 Bases of three-dimensional figures
- Z.2 Nets of three-dimensional figures
- Z.3 Front, side and top view
- AA.1 Perimeter
- AA.2 Area of rectangles and parallelograms
- AA.3 Area of triangles and trapeziums
- AA.4 Area between two shapes
- AA.5 Area and perimeter: word problems
- AA.6 Circles: calculate area, circumference, radius and diameter
- AA.7 Circles: word problems
- AA.8 Semicircles: calculate area, perimeter, radius and diameter
- AA.9 Quarter circles: calculate area, perimeter and radius
- AA.10 Area of composite figures with triangles, semicircles and quarter circles
- AA.11 Volume
- AA.12 Surface area
- AA.13 Perimeter, area and volume: changes in scale

## Secondary 2 skills

- N.4 Find the distance between two points
- O.1 Identify and classify polygons
- O.2 Classify triangles
- O.3 Identify trapeziums
- O.4 Classify quadrilaterals
- O.5 Graph triangles and quadrilaterals
- O.6 Find missing angles in triangles and quadrilaterals
- O.7 Interior angles of polygons
- O.8 Lines, line segments and rays
- O.9 Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.10 Find measures of complementary, supplementary, vertical and adjacent angles
- O.11 Transversal of parallel lines
- O.12 Find lengths and measures of bisected line segments and angles
- O.13 Parts of a circle
- P.1 Symmetry
- P.2 Identify reflections, rotations and translations
- P.3 Translations: graph the image
- P.4 Translations: find the coordinates
- P.5 Reflections: graph the image
- P.6 Reflections: find the coordinates
- P.7 Rotations: graph the image
- P.8 Rotations: find the coordinates
- P.9 Side lengths and angle measures of congruent figures
- P.10 Congruence statements and corresponding parts
- P.11 Congruent triangles: SSS, SAS and ASA
- Q.1 Similar and congruent figures
- Q.2 Dilations: graph the image
- Q.3 Dilations: find the coordinates
- Q.4 Dilations: scale factor and classification
- Q.5 Side lengths and angle measures of similar figures
- R.1 Construct the midpoint or perpendicular bisector of a segment
- R.2 Construct an angle bisector
- R.3 Construct a congruent angle
- R.4 Construct a perpendicular line
- R.5 Construct parallel lines
- R.6 Construct an equilateral triangle or regular hexagon
- S.1 Pythagoras' theorem: find the length of the hypotenuse
- S.2 Pythagoras' theorem: find the missing leg length
- S.3 Pythagoras' theorem: find the perimeter
- S.4 Pythagoras' theorem: word problems
- S.5 Converse of Pythagoras' theorem: is it a right triangle?
- T.1 Parts of three-dimensional figures
- T.2 Nets of three-dimensional figures
- T.3 Front, side and top view
- T.4 Base plans
- T.5 Similar solids
- U.1 Perimeter
- U.2 Area
- U.3 Area of composite figures with triangles, semicircles and quarter circles
- U.4 Area between two shapes
- U.5 Area and perimeter: word problems
- U.6 Circles, semicircles and quarter circles
- U.7 Circles: word problems
- U.8 Arc measure and arc length
- U.9 Area of sectors
- U.10 Volume of prisms and cylinders
- U.11 Surface area of prisms and cylinders
- U.12 Volume of pyramids and cones
- U.13 Surface area of pyramids and cones
- U.14 Volume and surface area of spheres
- U.15 Volume and surface area of similar solids
- U.16 Perimeter, area and volume: changes in scale
- BB.5 Add polynomials to find perimeter
- BB.13 Multiply polynomials to find area

## Secondary 3 skills

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

## Secondary 4 skills

- F.24 Find the distance between a point and a line
- F.25 Find the distance between two parallel lines
- L.5 Add polynomials to find perimeter
- Q.1 Lines, line segments and rays
- Q.2 Lengths of segments on number lines
- Q.3 Additive property of length
- Q.4 Midpoints
- Q.5 Congruent line segments
- Q.6 Perpendicular Bisector Theorem
- Q.7 Distance between two points
- R.1 Angle measures
- R.2 Identify complementary, supplementary, vertical, adjacent and congruent angles
- R.3 Find measures of complementary, supplementary, vertical and adjacent angles
- R.4 Angle bisectors
- S.1 Identify parallel, perpendicular and skew lines and planes
- S.2 Transversals: name angle pairs
- S.3 Transversals of parallel lines: find angle measures
- T.1 Polygon vocabulary
- T.2 Perimeter
- T.3 Area of triangles and quadrilaterals
- T.4 Area and perimeter in the coordinate plane I
- T.5 Area and perimeter in the coordinate plane II
- T.6 Area and circumference of circles
- T.7 Area and perimeter of semicircles and quarter circles
- T.8 Area of composite figures
- T.9 Area between two shapes
- T.10 Area and perimeter of similar figures
- U.1 Congruence statements and corresponding parts
- U.2 Solve problems involving corresponding parts
- U.3 Identify congruent figures
- V.1 SSS and SAS Theorems
- V.2 ASA and AAS Theorems
- V.3 SSS, SAS, ASA and AAS Theorems
- V.4 SSS Theorem in the coordinate plane
- V.5 Congruency in isosceles and equilateral triangles
- V.6 Hypotenuse-Leg Theorem
- W.1 Congruence transformations
- W.2 Classify congruence transformations
- W.3 Compositions of congruence transformations: graph the image
- W.4 Rotate polygons about a point
- W.5 Transformations that carry a polygon onto itself
- W.6 Dilations: graph the image
- W.7 Dilations: find the coordinates
- W.8 Dilations: scale factor and classification
- W.9 Dilations and parallel lines
- X.1 Classify triangles
- X.2 Triangle Angle-Sum Theorem
- X.3 Midsegments of triangles
- X.4 Triangles and bisectors
- X.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
- X.6 Angle-side relationships in triangles
- X.7 Triangle Inequality Theorem
- Y.1 Identify similar figures
- Y.2 Similarity ratios
- Y.3 Similarity statements
- Y.4 Side lengths and angle measures in similar figures
- Y.5 Similar triangles and indirect measurement
- Y.6 Perimeters of similar figures
- Y.7 Similarity rules for triangles
- Y.8 Similar triangles and similarity transformations
- Y.9 Areas of similar figures
- Z.1 Pythagoras' Theorem
- Z.2 Converse of Pythagoras' theorem
- Z.3 Pythagoras' Inequality Theorems
- Z.4 Special right triangles
- AA.1 Convert between radians and degrees
- AA.2 Radians and arc length
- AA.5 Coterminal angles
- AA.6 Reference angles
- BB.1 Trigonometric ratios: sin, cos and tan
- BB.2 Trigonometric ratios: csc, sec and cot
- BB.3 Trigonometric ratios in similar right triangles
- BB.4 Find trigonometric ratios using the unit circle
- BB.5 Sin, cos and tan of special angles
- BB.7 Find trigonometric functions using a calculator
- BB.8 Inverses of sin, cos and tan
- BB.10 Trigonometric ratios: find a side length
- BB.11 Trigonometric ratios: find an angle measure
- BB.12 Solve a right triangle
- BB.13 Law of Sines
- BB.14 Law of Cosines
- BB.15 Solve a triangle
- BB.16 Area of a triangle: sine formula
- BB.17 Area of a triangle: Law of Sines
- CC.1 Find the magnitude of a vector
- CC.2 Find the direction angle of a vector
- CC.3 Find the component form of a vector
- CC.4 Find the component form of a vector from its magnitude and direction angle
- CC.5 Add and subtract vectors
- CC.6 Multiply a vector by a scalar
- CC.7 Find the magnitude or direction of a vector scalar multiple
- CC.8 Find the magnitude and direction of a vector sum
- CC.9 Linear combinations of vectors
- CC.10 Graph a resultant vector using the triangle method
- CC.11 Graph a resultant vector using the parallelogram method
- DD.1 Parts of a circle
- DD.2 Central angles
- DD.3 Arc measure and arc length
- DD.4 Area of sectors
- DD.5 Circle measurements: mixed review
- DD.6 Arcs and chords
- DD.7 Tangent lines
- DD.8 Perimeter of polygons with an inscribed circle
- DD.9 Inscribed angles
- DD.10 Angles in inscribed right triangles
- DD.11 Angles in inscribed quadrilaterals
- EE.1 Introduction to surface area and volume
- EE.2 Surface area of prisms and cylinders
- EE.3 Surface area of pyramids and cones
- EE.4 Volume of prisms and cylinders
- EE.5 Volume of pyramids and cones
- EE.6 Surface area and volume of spheres
- EE.7 Introduction to similar solids
- EE.8 Surface area and volume of similar solids
- EE.9 Surface area and volume review
- FF.4 Minimum and maximum area and volume
- FF.6 Percent error: area and volume
- HH.6 Geometric probability

## Higher 1 skills

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

## Higher 2 skills

- J.1 Find properties of parabolas
- J.2 Write equations of parabolas in vertex form
- J.3 Graph parabolas
- J.4 Find properties of circles
- J.5 Write equations of circles in standard form
- J.6 Graph circles
- J.7 Find properties of ellipses
- J.8 Find the eccentricity of an ellipse
- J.9 Write equations of ellipses in standard form
- J.10 Find properties of hyperbolas
- J.11 Find the eccentricity of a hyperbola
- J.12 Write equations of hyperbolas in standard form
- J.13 Convert equations of conic sections from general to standard form
- L.8 Distance in the Argand plane
- N.1 Find the magnitude of a vector
- N.2 Find the direction angle of a vector
- N.3 Find the component form of a vector
- N.4 Find the component form of a vector from its magnitude and direction angle
- N.5 Find a unit vector
- N.6 Add and subtract vectors
- N.7 Multiply a vector by a scalar
- N.8 Find the magnitude or direction of a vector scalar multiple
- N.9 Find the magnitude and direction of a vector sum
- N.10 Linear combinations of vectors
- N.11 Graph a resultant vector using the triangle method
- N.12 Graph a resultant vector using the parallelogram method
- O.1 Find the magnitude of a three-dimensional vector
- O.2 Find the component form of a three-dimensional vector
- O.3 Find a three-dimensional unit vector
- O.4 Add and subtract three-dimensional vectors
- O.5 Scalar multiples of three-dimensional vectors
- O.6 Linear combinations of three-dimensional vectors