# 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 skills

- F.1 Inside and outside
- F.2 Above and below
- F.3 Beside and next to
- F.4 Left and right
- F.5 Left, middle and right
- F.6 Top and bottom
- F.7 Top, middle and bottom
- K.1 Name the shape
- K.2 Circles
- K.3 Squares
- K.4 Triangles
- K.5 Rectangles
- K.6 Circles, squares and triangles
- L.1 Flat and solid shapes
- L.2 Name the solid shape
- L.3 Spheres
- L.4 Cubes
- L.5 Cones
- L.6 Cylinders
- L.7 Select solid shapes

## Year 1 skills

- I.1 Inside and outside
- I.2 Above and below
- I.3 Above and below - find solid figures
- I.4 Beside and next to
- I.5 Beside and next to - find solid figures
- I.6 Left, middle and right
- I.7 Top, middle and bottom
- I.8 Location in a grid
- P.4 Same shape
- P.8 Count shapes in a Venn diagram
- T.1 Name the two-dimensional shape
- T.2 Circles
- T.3 Squares and rectangles
- T.4 Hexagons
- T.5 Select two-dimensional shapes
- T.6 Count sides and corners
- T.7 Compare sides and corners
- T.8 Introduction to symmetry
- T.9 Identify pictures with symmetry
- T.10 Flip, turn and slide
- U.1 Two-dimensional and three-dimensional shapes
- U.2 Name the three-dimensional shape
- U.3 Spheres
- U.4 Cubes
- U.5 Cones
- U.6 Cylinders
- U.7 Select three-dimensional shapes
- U.8 Identify shapes traced from solids
- U.9 Shapes of everyday objects I
- U.10 Shapes of everyday objects II

## Year 2 skills

- K.6 Count shapes in a Venn diagram
- 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 Open and closed shapes
- M.6 Flip, turn and slide
- M.7 Symmetry
- N.1 Two-dimensional and three-dimensional shapes
- N.2 Name the three-dimensional shape
- N.3 Cubes and rectangular prisms
- N.4 Select three-dimensional shapes
- N.5 Count vertices, edges and faces
- N.6 Compare vertices, edges and faces
- N.7 Identify shapes traced from solids
- N.8 Identify faces of three-dimensional shapes
- N.9 Shapes of everyday objects I
- N.10 Shapes of everyday objects II
- P.1 Above and below
- P.2 Beside and next to
- P.3 Left, middle and right
- P.4 Top, middle and bottom
- P.5 Location in a grid

## Year 3 skills

- R.9 Sort shapes into a Venn diagram
- R.10 Count shapes in a Venn diagram
- T.1 Name the two-dimensional shape
- T.2 Select two-dimensional shapes
- T.3 Count sides and vertices
- T.4 Compare sides and vertices
- T.5 Flip, turn and slide
- T.6 Identify congruent shapes
- T.7 Symmetry
- U.1 Name the three-dimensional shape
- U.2 Select three-dimensional shapes
- U.3 Count vertices, edges and faces
- U.4 Compare vertices, edges and faces
- U.5 Identify shapes traced from solids
- U.6 Identify faces of three-dimensional shapes
- U.7 Shapes of everyday objects I
- U.8 Shapes of everyday objects II
- V.1 Perimeter
- V.2 Perimeter - word problems
- V.3 Area
- V.4 Select figures with a given area
- V.5 Create figures with a given area

## Year 4 skills

- K.9 Sort shapes into a Venn diagram
- K.10 Count shapes in a Venn diagram
- P.1 Identify two-dimensional shapes
- P.2 Count and compare sides and vertices
- P.3 Identify three-dimensional shapes
- P.4 Count vertices, edges and faces
- P.5 Identify faces of three-dimensional shapes
- P.6 Nets of three-dimensional figures
- P.7 Is it a polygon?
- P.8 Lines, intervals and rays
- P.9 Angles greater than, less than or equal to a right angle
- P.10 Acute, obtuse and right triangles
- P.11 Scalene, isosceles and equilateral triangles
- P.12 Reflection, rotation and translation
- P.13 Identify congruent shapes
- P.14 Rotational symmetry
- P.15 Lines of symmetry
- Q.1 Perimeter of rectangles
- Q.2 Perimeter of polygons
- Q.3 Perimeter of rectilinear shapes
- Q.4 Perimeter: find the missing side length
- Q.5 Find the area of figures made of unit squares
- Q.6 Select figures with a given area
- Q.7 Select two figures with the same area
- Q.8 Create figures with a given area
- Q.9 Find the area of rectangles and squares
- Q.10 Find the missing side length of a rectangle
- Q.11 Volume

## Year 5 skills

- L.1 Is it a polygon?
- L.2 Number of sides in polygons
- L.3 Which two-dimensional figure is being described?
- L.4 Lines, intervals and rays
- L.5 Parallel, perpendicular and intersecting lines
- L.6 Angles greater than, less than or equal to a right angle
- L.7 Acute, right, obtuse and straight angles
- L.8 Types of triangles
- L.9 Reflection, rotation and translation
- L.10 Identify congruent figures
- L.11 Identify lines of symmetry
- L.12 Rotational symmetry
- M.1 Identify three-dimensional figures
- M.2 Count vertices, edges and faces
- M.3 Identify faces of three-dimensional figures
- M.4 Which three-dimensional figure is being described?
- M.5 Bases of three-dimensional figures
- M.6 Nets of three-dimensional figures
- M.7 Front, side and top view
- 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 Area and perimeter: word problems
- N.9 Volume

## Year 6 skills

- U.1 Is it a polygon?
- U.2 Number of sides in polygons
- U.3 Regular and irregular polygons
- U.4 Parallel, perpendicular and intersecting lines
- U.5 Types of angles
- U.6 Measure angles with a protractor
- U.7 Classify triangles
- U.8 Parallel sides in quadrilaterals
- U.9 Identify parallelograms
- U.10 Identify trapeziums
- U.11 Identify rectangles
- U.12 Identify rhombuses
- U.13 Classify quadrilaterals
- U.14 Parts of a circle
- V.1 Lines of symmetry
- V.2 Rotational symmetry
- V.3 Reflection, rotation and translation
- V.4 Dilations
- V.5 Identify congruent and similar figures
- W.1 Identify three-dimensional figures
- W.2 Count vertices, edges and faces
- W.3 Bases of three-dimensional figures
- W.4 Nets of three-dimensional figures
- W.5 Three-dimensional figures viewed from different perspectives
- X.1 Perimeter with whole number side lengths
- X.2 Perimeter with decimal side lengths
- X.3 Area of squares and rectangles
- X.4 Area and perimeter of figures on grids
- X.5 Use area and perimeter to determine cost
- X.6 Volume of rectangular prisms made of unit cubes
- X.7 Volume of irregular figures made of unit cubes
- X.8 Volume of cubes and rectangular prisms

## Year 7 skills

- AA.1 Identify and classify polygons
- AA.2 Measure and classify angles
- AA.3 Estimate angle measurements
- AA.4 Classify triangles
- AA.5 Identify trapeziums
- AA.6 Classify quadrilaterals
- AA.7 Graph triangles and quadrilaterals
- AA.8 Find missing angles in triangles and quadrilaterals
- AA.9 Sums of angles in polygons
- AA.10 Name angles
- AA.11 Complementary and supplementary angles
- AA.12 Transversal of parallel lines
- AA.13 Parts of a circle
- BB.1 Symmetry
- BB.2 Reflection, rotation and translation
- BB.3 Translations: graph the image
- BB.4 Reflections: graph the image
- BB.5 Rotations: graph the image
- BB.6 Similar and congruent figures
- BB.7 Find side lengths of similar figures
- CC.1 Identify polyhedra
- CC.2 Which figure is being described?
- CC.3 Nets of three-dimensional figures
- CC.4 Front, side and top view
- CC.5 Base plans
- DD.1 Perimeter
- DD.2 Area of squares and rectangles
- DD.3 Area of parallelograms
- DD.4 Area of triangles
- DD.5 Area of compound figures
- DD.6 Area between two rectangles
- DD.7 Area and perimeter of figures on grids
- DD.8 Area and perimeter: word problems
- DD.9 Rectangles: relationship between perimeter and area
- DD.10 Compare area and perimeter of two figures
- DD.11 Volume of cubes and rectangular prisms

## Year 8 skills

- P.4 Distance between two points
- U.1 Identify and classify polygons
- U.2 Name, measure and classify angles
- U.3 Classify triangles
- U.4 Identify trapeziums
- U.5 Classify quadrilaterals
- U.6 Graph triangles and quadrilaterals
- U.7 Find missing angles in triangles and quadrilaterals
- U.8 Interior angles of polygons
- U.9 Lines, intervals and rays
- U.10 Parallel, perpendicular and intersecting lines
- U.11 Identify complementary, supplementary, vertical, adjacent and congruent angles
- U.12 Find measures of complementary, supplementary, vertical and adjacent angles
- U.13 Transversal of parallel lines
- U.14 Find lengths and measures of bisected line segments and angles
- U.15 Parts of a circle
- V.1 Symmetry
- V.2 Identify reflections, rotations and translations
- V.3 Translations: graph the image
- V.4 Translations: find the coordinates
- V.5 Reflections: graph the image
- V.6 Reflections: find the coordinates
- V.7 Rotations: graph the image
- V.8 Rotations: find the coordinates
- V.9 Similar and congruent figures
- V.10 Side lengths and angle measures of congruent figures
- V.11 Congruence statements and corresponding parts
- V.12 Side lengths and angle measures of similar figures
- V.13 Similar figures and indirect measurement
- W.1 Bases of three-dimensional figures
- W.2 Nets of three-dimensional figures
- W.3 Front, side and top view
- W.4 Base plans
- X.1 Perimeter
- X.2 Area of rectangles and parallelograms
- X.3 Area of triangles
- X.4 Area between two shapes
- X.5 Area and perimeter: word problems
- X.6 Volume

## Year 9 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 Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.9 Find measures of complementary, supplementary, vertical and adjacent angles
- O.10 Transversal of parallel lines
- O.11 Find lengths and measures of bisected line segments and angles
- O.12 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
- 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 Pythagoras' theorem: find the length of the hypotenuse
- R.2 Pythagoras' theorem: find the missing leg length
- R.3 Pythagoras' theorem: find the perimeter
- R.4 Pythagoras' theorem: word problems
- R.5 Converse of Pythagoras' theorem: is it a right triangle?
- S.1 Parts of three-dimensional figures
- S.2 Nets of three-dimensional figures
- S.3 Front, side and top view
- S.4 Base plans
- S.5 Similar solids
- T.1 Perimeter
- T.2 Area
- T.3 Area between two shapes
- T.4 Area and perimeter: word problems
- T.5 Circles, semicircles and quarter circles
- T.6 Circles: word problems
- T.7 Volume of prisms and cylinders
- T.8 Surface area of prisms
- T.9 Surface area of cylinders
- T.10 Volume of pyramids and cones
- T.11 Surface area of pyramids
- T.12 Surface area of cones
- T.13 Volume and surface area of spheres
- T.14 Volume and surface area of similar solids
- T.15 Perimeter, area and volume: changes in scale
- AA.5 Add polynomials to find perimeter
- AA.13 Multiply polynomials to find area

## Year 10 skills

- E.4 Minimum and maximum area and volume
- E.6 Percent error: area and volume
- F.1 Perimeter
- F.2 Area
- F.3 Area of compound figures
- F.4 Interior angles of polygons
- F.5 Transversal of parallel lines
- F.6 Volume
- F.7 Surface area
- F.8 Congruent figures: side lengths and angle measures
- F.9 Similar figures: side lengths and angle measures
- F.10 Similar triangles and indirect measurement
- F.11 Dilations and scale factors
- F.12 Area and perimeter of similar figures
- F.13 Area between two shapes
- F.14 Similar solids
- F.15 Volume and surface area of similar solids
- F.16 Perimeter, area and volume: changes in scale
- F.17 Pythagoras' theorem
- F.18 Pythagoras' theorem: word problems
- F.19 Converse of Pythagoras' theorem: is it a right triangle?
- F.20 Special right triangles
- G.2 Midpoints
- G.3 Distance between two points
- U.5 Add polynomials to find perimeter

## Year 11 skills

- D.2 Midpoints
- D.3 Distance between two points
- I.24 Find the distance between a point and a line
- I.25 Find the distance between two parallel lines
- O.5 Add polynomials to find perimeter
- S.1 Identify the direction a parabola opens
- S.2 Find the vertex of a parabola
- S.3 Find the focus or directrix of a parabola
- S.4 Find the axis of symmetry of a parabola
- S.5 Write equations of parabolas in vertex form from graphs
- S.6 Write equations of parabolas in vertex form using properties
- S.7 Convert equations of parabolas from general to vertex form
- S.8 Find properties of a parabola from equations in general form
- S.9 Graph parabolas
- T.1 Find the centre, vertices or co-vertices of an ellipse
- T.2 Find the length of the major or minor axes of an ellipse
- T.3 Find the foci of an ellipse
- T.4 Write equations of ellipses in standard form from graphs
- T.5 Write equations of ellipses in standard form using properties
- T.6 Convert equations of ellipses from general to standard form
- T.7 Find properties of ellipses from equations in general form
- Y.4 Minimum and maximum area and volume
- Y.6 Percent error: area and volume
- AA.1 Classify triangles
- AA.2 Polygon vocabulary
- AA.3 Triangle Angle-Sum Theorem
- AA.4 Midsegments of triangles
- AA.5 Triangles and bisectors
- AA.6 Identify medians, altitudes, angle bisectors and perpendicular bisectors
- AA.7 Perimeter
- AA.8 Area of triangles and quadrilaterals
- AA.9 Area and perimeter in the coordinate plane I
- AA.10 Area and perimeter in the coordinate plane II
- AA.11 Area and circumference of circles
- AA.12 Area of compound figures
- AA.13 Area between two shapes
- AA.14 Area and perimeter of similar figures
- BB.1 Congruence statements and corresponding parts
- BB.2 Solve problems involving corresponding parts
- BB.3 Identify congruent figures
- CC.1 SSS and SAS Theorems
- CC.2 ASA and AAS Theorems
- CC.3 SSS, SAS, ASA and AAS Theorems
- CC.4 SSS Theorem in the coordinate plane
- CC.5 Congruency in isosceles and equilateral triangles
- CC.6 Hypotenuse-Leg Theorem
- DD.1 Identify similar figures
- DD.2 Similarity ratios
- DD.3 Similarity statements
- DD.4 Side lengths and angle measures in similar figures
- DD.5 Similar triangles and indirect measurement
- DD.6 Perimeters of similar figures
- DD.7 Similarity rules for triangles
- DD.8 Similar triangles and similarity transformations
- DD.9 Areas of similar figures
- EE.1 Pythagoras' Theorem
- EE.2 Converse of Pythagoras' theorem
- EE.3 Pythagoras' Inequality Theorems
- EE.4 Special right triangles
- FF.3 Coterminal angles
- FF.4 Reference angles
- GG.1 Trigonometric ratios: sin, cos and tan
- GG.2 Trigonometric ratios: csc, sec and cot
- GG.3 Trigonometric ratios in similar right triangles
- GG.4 Find trigonometric ratios using the unit circle
- GG.5 Trigonometric functions of complementary angles
- GG.6 Sin, cos and tan of special angles
- GG.8 Find trigonometric functions using a calculator
- GG.9 Symmetry and periodicity of trigonometric functions
- GG.10 Inverses of sin, cos and tan
- GG.12 Solve trigonometric equations I
- GG.13 Solve trigonometric equations II
- GG.14 Trigonometric ratios: find a side length
- GG.15 Trigonometric ratios: find an angle measure
- GG.16 Solve a right triangle
- GG.17 Law of Sines
- GG.18 Law of Cosines
- GG.19 Solve a triangle
- HH.1 Parts of a circle
- HH.2 Central angles
- HH.3 Arc measure and arc length
- HH.4 Area of sectors
- HH.5 Circle measurements: mixed review
- HH.6 Arcs and chords
- HH.7 Tangent lines
- HH.8 Perimeter of polygons with an inscribed circle
- HH.9 Inscribed angles
- HH.10 Angles in inscribed right triangles
- HH.11 Angles in inscribed quadrilaterals
- II.1 Find the centre of a circle
- II.2 Find the radius or diameter of a circle
- II.3 Write equations of circles in standard form from graphs
- II.4 Write equations of circles in standard form using properties
- II.5 Convert equations of circles from general to standard form
- II.6 Find properties of circles from equations in general form
- II.7 Graph circles
- JJ.1 Introduction to surface area and volume
- JJ.2 Surface area of prisms and cylinders
- JJ.3 Surface area of pyramids and cones
- JJ.4 Volume of prisms and cylinders
- JJ.5 Volume of pyramids and cones
- JJ.6 Surface area and volume of spheres
- JJ.7 Introduction to similar solids
- JJ.8 Surface area and volume of similar solids
- JJ.9 Surface area and volume review
- KK.1 Translations: graph the image
- KK.2 Translations: find the coordinates
- KK.3 Translations: write the rule
- KK.4 Reflections: graph the image
- KK.5 Reflections: find the coordinates
- KK.6 Rotate polygons about a point
- KK.7 Rotations: graph the image
- KK.8 Rotations: find the coordinates
- KK.9 Classify congruence transformations
- KK.10 Compositions of congruence transformations: graph the image
- KK.11 Transformations that carry a polygon onto itself
- KK.12 Congruence transformations: mixed review
- KK.13 Dilations: graph the image
- KK.14 Dilations: find the coordinates
- KK.15 Dilations: scale factor and classification
- KK.16 Dilations and parallel lines
- LL.1 Line symmetry
- LL.2 Rotational symmetry
- LL.3 Count lines of symmetry
- LL.4 Draw lines of symmetry
- MM.6 Geometric probability

## Year 12 skills

- A.4 Minimum and maximum area and volume
- A.6 Percent error: area and volume
- B.2 Midpoints
- B.3 Distance between two points
- B.4 Dilations and parallel lines
- R.1 Identify the direction a parabola opens
- R.2 Find the vertex of a parabola
- R.3 Find the focus or directrix of a parabola
- R.4 Find the axis of symmetry of a parabola
- R.5 Write equations of parabolas in vertex form from graphs
- R.6 Write equations of parabolas in vertex form using properties
- R.7 Convert equations of parabolas from general to vertex form
- R.8 Find properties of a parabola from equations in general form
- R.9 Graph parabolas
- S.1 Find the centre of a circle
- S.2 Find the radius or diameter of a circle
- S.3 Write equations of circles in standard form from graphs
- S.4 Write equations of circles in standard form using properties
- S.5 Convert equations of circles from general to standard form
- S.6 Find properties of circles from equations in general form
- S.7 Graph circles
- T.1 Find the centre, vertices or co-vertices of an ellipse
- T.2 Find the length of the major or minor axes of an ellipse
- T.3 Find the foci of an ellipse
- T.4 Write equations of ellipses in standard form from graphs
- T.5 Write equations of ellipses in standard form using properties
- T.6 Convert equations of ellipses from general to standard form
- T.7 Find properties of ellipses from equations in general form
- U.1 Find the centre of a hyperbola
- U.2 Find the vertices of a hyperbola
- U.3 Find the length of the transverse or conjugate axes of a hyperbola
- U.4 Find the equations for the asymptotes of a hyperbola
- U.5 Find the foci of a hyperbola
- U.6 Write equations of hyperbolas in standard form from graphs
- U.7 Write equations of hyperbolas in standard form using properties
- U.8 Convert equations of hyperbolas from general to standard form
- U.9 Find properties of hyperbolas from equations in general form
- V.1 Convert between radians and degrees
- V.2 Radians and arc length
- V.5 Coterminal angles
- V.6 Reference angles
- W.1 Pythagoras' Theorem and its converse
- W.2 Special right triangles
- W.3 Trigonometric ratios: sin, cos and tan
- W.4 Trigonometric ratios: csc, sec and cot
- W.5 Trigonometric ratios in similar right triangles
- W.6 Find trigonometric ratios using the unit circle
- W.7 Sin, cos and tan of special angles
- W.9 Find trigonometric functions using a calculator
- W.10 Inverses of sin, cos and tan
- W.12 Solve trigonometric equations I
- W.13 Solve trigonometric equations II
- W.14 Trigonometric ratios: find a side length
- W.15 Trigonometric ratios: find an angle measure
- W.16 Solve a right triangle
- W.17 Law of Sines
- W.18 Law of Cosines
- W.19 Solve a triangle
- W.20 Area of a triangle: sine formula
- W.21 Area of a triangle: Law of Sines
- Y.1 Complementary angle identities
- Y.2 Symmetry and periodicity of trigonometric functions
- Z.1 Introduction to surface area and volume
- Z.2 Surface area of prisms and cylinders
- Z.3 Surface area of pyramids and cones
- Z.4 Volume of prisms and cylinders
- Z.5 Volume of pyramids and cones
- Z.6 Surface area and volume of spheres
- Z.7 Introduction to similar solids
- Z.8 Surface area and volume of similar solids
- Z.9 Surface area and volume review
- BB.12 Geometric probability

## Year 13 skills

- H.1 Convert between radians and degrees
- H.2 Radians and arc length
- H.4 Coterminal and reference angles
- H.5 Find trigonometric ratios using right triangles
- H.6 Find trigonometric ratios using the unit circle
- H.8 Inverses of trigonometric functions
- H.9 Solve trigonometric equations
- H.10 Trigonometric ratios: find a side length
- H.11 Trigonometric ratios: find an angle measure
- H.12 Solve a right triangle
- H.13 Law of Sines
- H.14 Law of Cosines
- H.15 Solve a triangle
- H.16 Area of a triangle: sine formula
- H.17 Area of a triangle: Heron's formula
- J.1 Complementary angle identities
- J.2 Symmetry and periodicity of trigonometric functions
- K.1 Find properties of parabolas
- K.2 Write equations of parabolas in vertex form
- K.3 Graph parabolas
- K.4 Find properties of circles
- K.5 Write equations of circles in standard form
- K.6 Graph circles
- K.7 Find properties of ellipses
- K.8 Find the eccentricity of an ellipse
- K.9 Write equations of ellipses in standard form
- K.10 Find properties of hyperbolas
- K.11 Find the eccentricity of a hyperbola
- K.12 Write equations of hyperbolas in standard form
- K.13 Convert equations of conic sections from general to standard form
- M.8 Distance in the complex plane