# 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!

## Reception 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

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

## Year 2 skills

- N.1 Name the two-dimensional shape
- N.2 Select two-dimensional shapes
- N.3 Count sides and vertices
- N.4 Compare sides and vertices
- N.5 Open and closed shapes
- N.6 Flip, turn and slide
- N.7 Symmetry
- O.1 Two-dimensional and three-dimensional shapes
- O.2 Name the three-dimensional shape
- O.3 Cubes and rectangular prisms
- O.4 Select three-dimensional shapes
- O.5 Count vertices, edges and faces
- O.6 Compare vertices, edges and faces
- O.7 Identify shapes traced from solids
- O.8 Identify faces of three-dimensional shapes
- O.9 Shapes of everyday objects I
- O.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
- V.2 Count shapes in a Venn diagram

## Year 3 skills

- R.10 Sort shapes into a Venn diagram
- R.11 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 Angles: greater than, less than or equal to a right angle
- T.6 Flip, turn and slide
- T.7 Identify congruent shapes
- T.8 Symmetry
- T.9 Fractions of a turn
- 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
- V.6 Parallel and perpendicular lines

## Year 4 skills

- U.4 Coordinate planes as maps - count the distance
- U.13 Sort shapes into a Venn diagram
- U.14 Count shapes in a Venn diagram
- W.1 Identify two-dimensional shapes
- W.2 Count and compare sides and vertices
- W.3 Identify three-dimensional shapes
- W.4 Count vertices, edges and faces
- W.5 Identify faces of three-dimensional shapes
- W.6 Is it a polygon?
- W.7 Regular and irregular polygons
- W.8 Plot points to draw a polygon
- W.9 Lines, line segments and rays
- W.10 Angles greater than, less than or equal to a right angle
- W.11 Acute, right and obtuse angles
- W.12 Acute, right and obtuse angles - with a protractor
- W.13 Acute, obtuse and right triangles
- W.14 Scalene, isosceles and equilateral triangles
- W.15 Angles of 90, 180, 270 and 360 degrees
- W.16 Reflection, rotation and translation
- W.17 Identify congruent shapes
- W.18 Symmetry
- X.1 Perimeter of rectangles
- X.2 Perimeter of polygons
- X.3 Perimeter of rectilinear shapes
- X.4 Perimeter: find the missing side length
- X.5 Find the area of figures made of unit squares
- X.6 Select figures with a given area
- X.7 Select two figures with the same area
- X.8 Create figures with a given area
- X.9 Find the area of rectangles and squares
- X.10 Find the missing side length of a rectangle
- X.11 Volume

## Year 5 skills

- Q.1 Which two-dimensional figure is being described?
- Q.2 Identify three-dimensional figures
- Q.3 Count vertices, edges and faces
- Q.4 Identify faces of three-dimensional figures
- Q.5 Which three-dimensional figure is being described?
- Q.6 Nets of three-dimensional figures
- Q.7 Is it a polygon?
- Q.8 Number of sides in polygons
- Q.9 Lines, line segments and rays
- Q.10 Parallel, perpendicular and intersecting lines
- Q.11 Acute, right, obtuse and straight angles
- Q.12 Measure angles with a protractor
- Q.13 Types of triangles
- Q.14 Identify congruent figures
- Q.15 Identify lines of symmetry
- Q.16 Rotational symmetry
- Q.17 Fraction and degree of a turn given a figure
- R.1 Perimeter
- R.2 Perimeter: find the missing side lengths
- R.3 Find the area of figures made of unit squares
- R.4 Select figures with a given area
- R.5 Select two figures with the same area
- R.6 Create figures with a given area
- R.7 Find the area or missing side length of a rectangle
- R.8 Find the area of complex figures
- R.9 Find the area between two rectangles
- R.10 Area and perimeter: word problems
- R.11 Use area and perimeter to determine cost
- R.12 Volume

## Year 6 skills

- Y.1 Lines, line segments and rays
- Y.2 Parallel, perpendicular and intersecting lines
- Y.3 Types of angles
- Y.4 Measure angles with a protractor
- Y.5 Find a missing angle - vertical angles
- Y.6 Find a missing angle - adjacent angles
- Y.7 Find a missing angle - supplementary angles
- Y.8 Find a missing angle - vertical, adjacent and supplementary angles
- Z.1 Is it a polygon?
- Z.2 Number of sides in polygons
- Z.3 Regular and irregular polygons
- Z.4 Classify triangles
- Z.5 Parallel sides in quadrilaterals
- Z.6 Identify parallelograms
- Z.7 Identify trapeziums
- Z.8 Identify rectangles
- Z.9 Identify rhombuses
- Z.10 Classify quadrilaterals
- Z.11 Find missing angles in triangles and quadrilaterals
- AA.1 Lines of symmetry
- AA.2 Rotational symmetry
- AA.3 Reflection, rotation and translation
- AA.4 Identify congruent and similar figures
- BB.1 Identify three-dimensional figures
- BB.2 Count vertices, edges and faces
- BB.3 Nets of three-dimensional figures
- BB.4 Three-dimensional figures viewed from different perspectives
- CC.1 Perimeter with whole number side lengths
- CC.2 Perimeter with decimal side lengths
- CC.3 Area of squares and rectangles
- CC.4 Area of triangles
- CC.5 Area of compound figures
- CC.6 Area between two rectangles
- CC.7 Area and perimeter of figures on grids
- CC.8 Area and perimeter: word problems
- CC.9 Use area and perimeter to determine cost
- CC.10 Volume of figures made of unit cubes
- CC.11 Volume of cubes and rectangular prisms

## Year 7 skills

- AA.1 Identify and classify polygons
- AA.2 Measure and classify angles
- AA.3 Types of angles
- AA.4 Estimate angle measurements
- AA.5 Classify triangles
- AA.6 Identify trapeziums
- AA.7 Classify quadrilaterals
- AA.8 Graph triangles and quadrilaterals
- AA.9 Find missing angles in triangles and quadrilaterals
- AA.10 Sums of angles in polygons
- AA.11 Lines, line segments and rays
- AA.12 Name angles
- AA.13 Complementary and supplementary angles
- AA.14 Transversal of parallel lines
- AA.15 Parts of a circle
- AA.16 Central angles of circles
- 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 Construct the midpoint or perpendicular bisector of a segment
- CC.2 Construct an angle bisector
- CC.3 Construct a congruent angle
- CC.4 Construct a perpendicular line
- CC.5 Construct parallel lines
- CC.6 Construct an equilateral triangle or regular hexagon
- DD.1 Identify polyhedra
- DD.2 Which figure is being described?
- DD.3 Nets of three-dimensional figures
- DD.4 Front, side and top view
- EE.1 Perimeter
- EE.2 Area of figures made of unit squares
- EE.3 Area of squares and rectangles
- EE.4 Area of triangles
- EE.5 Area of parallelograms and trapeziums
- EE.6 Area of compound figures
- EE.7 Area between two rectangles
- EE.8 Area between two triangles
- EE.9 Area between two circles
- EE.10 Area and perimeter of figures on grids
- EE.11 Area and perimeter: word problems
- EE.12 Rectangles: relationship between perimeter and area
- EE.13 Compare area and perimeter of two figures
- EE.14 Volume of figures made of unit cubes
- EE.15 Volume and surface area of cubes and rectangular prisms
- EE.16 Volume and surface area of triangular prisms

## Year 8 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 Lines, line segments and rays
- W.10 Parallel, perpendicular and intersecting lines
- W.11 Identify complementary, supplementary, vertical, adjacent and congruent angles
- W.12 Find measures of complementary, supplementary, vertical and adjacent angles
- W.13 Transversal of parallel lines
- W.14 Find lengths and measures of bisected line segments and angles
- W.15 Parts of a circle
- X.1 Symmetry
- X.2 Identify reflections, rotations and translations
- X.3 Translations: graph the image
- X.4 Translations: find the coordinates
- X.5 Reflections: graph the image
- X.6 Reflections: find the coordinates
- X.7 Rotations: graph the image
- X.8 Rotations: find the coordinates
- X.9 Similar and congruent figures
- X.10 Side lengths and angle measures of congruent figures
- X.11 Congruence statements and corresponding parts
- X.12 Side lengths and angle measures of similar figures
- X.13 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 and perimeter: word problems
- AA.5 Circles: calculate area, circumference, radius and diameter
- AA.6 Circles: word problems
- AA.7 Semicircles: calculate area, perimeter, radius and diameter
- AA.8 Quarter circles: calculate area, perimeter and radius
- AA.9 Area of compound figures with triangles, semicircles and quarter circles
- AA.10 Area between two shapes
- AA.11 Volume
- AA.12 Surface area
- AA.13 Perimeter, area and volume: changes in scale

## 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
- 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 and perimeter: word problems
- U.4 Area between two shapes
- U.5 Circles, semicircles and quarter circles
- U.6 Circles: word problems
- U.7 Volume
- U.8 Surface area of prisms and cylinders
- U.9 Volume and surface area of similar solids
- U.10 Perimeter, area and volume: changes in scale
- BB.5 Add polynomials to find perimeter
- BB.13 Multiply polynomials to find area

## Year 10 skills

- E.8 Minimum and maximum area and volume
- E.10 Percent error: area and volume
- F.1 Perimeter
- F.2 Area
- F.3 Symmetry
- F.4 Count lines of symmetry
- F.5 Draw lines of symmetry
- F.6 Identify and classify polygons
- F.7 Interior angles of polygons
- F.8 Volume
- F.9 Surface area
- F.10 Congruent figures: side lengths and angle measures
- F.11 Similar figures: side lengths and angle measures
- F.12 Similar triangles and indirect measurement
- F.13 Area and perimeter of similar figures
- F.14 Area between two shapes
- F.15 Similar solids
- F.16 Volume and surface area of similar solids
- F.17 Perimeter, area and volume: changes in scale
- F.18 Identify reflections, rotations and translations
- F.19 Reflections, rotations and translations: find the coordinates
- F.20 Reflections, rotations and translations: graph the image
- F.21 Dilations and scale factors
- F.22 Pythagoras' theorem
- F.23 Pythagoras' theorem: word problems
- F.24 Converse of Pythagoras' theorem: is it a right triangle?
- G.3 Distance between two points
- X.5 Add polynomials to find perimeter

## Year 11 skills

- C.2 Midpoints
- C.3 Distance between two points
- H.24 Find the distance between a point and a line
- H.25 Find the distance between two parallel lines
- L.5 Add polynomials to find perimeter
- T.1 Classify triangles
- T.2 Triangle Angle-Sum Theorem
- T.3 Exterior Angle Theorem
- T.4 Exterior Angle Inequality
- U.1 Polygon vocabulary
- U.2 Interior angles of polygons
- U.3 Exterior angles of polygons
- U.4 Review: interior and exterior angles of polygons
- V.1 Three-dimensional figure vocabulary
- V.2 Parts of three-dimensional figures
- V.3 Nets and drawings of three-dimensional figures
- V.4 Cross-sections of three-dimensional figures
- V.5 Solids of revolution
- W.1 Congruence statements and corresponding parts
- W.2 Solve problems involving corresponding parts
- W.3 Identify congruent figures
- X.1 SSS and SAS Theorems
- X.2 ASA and AAS Theorems
- X.3 SSS, SAS, ASA and AAS Theorems
- X.4 SSS Theorem in the coordinate plane
- X.5 Congruency in isosceles and equilateral triangles
- X.6 Hypotenuse-Leg Theorem
- Y.1 Midsegments of triangles
- Y.2 Triangles and bisectors
- Y.3 Identify medians, altitudes, angle bisectors and perpendicular bisectors
- Y.4 Angle-side relationships in triangles
- Y.5 Triangle Inequality Theorem
- Z.1 Identify trapeziums
- Z.2 Classify quadrilaterals
- Z.3 Graph quadrilaterals
- Z.4 Properties of parallelograms
- Z.5 Proving a quadrilateral is a parallelogram
- Z.6 Properties of rhombuses
- Z.7 Properties of squares and rectangles
- Z.8 Properties of trapeziums
- Z.9 Properties of kites
- Z.10 Review: properties of quadrilaterals
- AA.1 Translations: graph the image
- AA.2 Translations: find the coordinates
- AA.3 Translations: write the rule
- AA.4 Reflections: graph the image
- AA.5 Reflections: find the coordinates
- AA.6 Rotate polygons about a point
- AA.7 Rotations: graph the image
- AA.8 Rotations: find the coordinates
- AA.9 Classify congruence transformations
- AA.10 Compositions of congruence transformations: graph the image
- AA.11 Transformations that carry a polygon onto itself
- AA.12 Congruence transformations: mixed review
- AA.13 Dilations: graph the image
- AA.14 Dilations: find the coordinates
- AA.15 Dilations: scale factor and classification
- AA.16 Dilations and parallel lines
- BB.1 Identify similar figures
- BB.2 Similarity ratios
- BB.3 Similarity statements
- BB.4 Side lengths and angle measures in similar figures
- BB.5 Similar triangles and indirect measurement
- BB.6 Perimeters of similar figures
- BB.7 Similarity rules for triangles
- BB.8 Similar triangles and similarity transformations
- BB.9 Areas of similar figures
- CC.1 Pythagoras' Theorem
- CC.2 Converse of Pythagoras' theorem
- CC.3 Pythagoras' Inequality Theorems
- CC.4 Special right triangles
- DD.1 Trigonometric ratios: sin, cos and tan
- DD.2 Trigonometric ratios: csc, sec and cot
- DD.3 Find trigonometric functions of special angles
- DD.4 Find trigonometric functions using a calculator
- DD.5 Inverses of trigonometric functions
- DD.6 Trigonometric ratios: find a side length
- DD.7 Trigonometric ratios: find an angle measure
- DD.8 Solve a right triangle
- EE.1 Perimeter
- EE.2 Area of triangles and quadrilaterals
- EE.3 Area and perimeter in the coordinate plane I
- EE.4 Area and perimeter in the coordinate plane II
- EE.5 Area and circumference of circles
- EE.6 Area of compound figures
- EE.7 Area between two shapes
- EE.8 Area and perimeter of similar figures
- FF.1 Parts of a circle
- FF.2 Central angles
- FF.3 Arc measure and arc length
- FF.4 Area of sectors
- FF.5 Circle measurements: mixed review
- FF.6 Arcs and chords
- FF.7 Tangent lines
- FF.8 Perimeter of polygons with an inscribed circle
- FF.9 Inscribed angles
- FF.10 Angles in inscribed right triangles
- FF.11 Angles in inscribed quadrilaterals
- GG.1 Introduction to surface area and volume
- GG.2 Surface area of prisms and cylinders
- GG.3 Surface area of pyramids and cones
- GG.4 Volume of prisms and cylinders
- GG.5 Volume of pyramids and cones
- GG.6 Surface area and volume of spheres
- GG.7 Introduction to similar solids
- GG.8 Surface area and volume of similar solids
- GG.9 Surface area and volume review
- II.7 Minimum and maximum area and volume
- II.9 Percent error: area and volume
- JJ.6 Geometric probability

## Year 12 skills

- O.1 Identify the direction a parabola opens
- O.2 Find the vertex of a parabola
- O.3 Find the focus or directrix of a parabola
- O.4 Find the axis of symmetry of a parabola
- O.5 Write equations of parabolas in vertex form from graphs
- O.6 Write equations of parabolas in vertex form using properties
- O.7 Convert equations of parabolas from general to vertex form
- O.8 Find properties of a parabola from equations in general form
- O.9 Graph parabolas
- P.1 Convert between radians and degrees
- P.2 Radians and arc length
- P.5 Coterminal angles
- P.6 Reference angles
- Q.1 Pythagoras' Theorem and its converse
- Q.2 Special right triangles
- Q.3 Trigonometric ratios: sin, cos and tan
- Q.4 Trigonometric ratios: csc, sec and cot
- Q.5 Trigonometric ratios in similar right triangles
- Q.6 Find trigonometric ratios using the unit circle
- Q.7 Sin, cos and tan of special angles
- Q.9 Find trigonometric functions using a calculator
- Q.10 Inverses of sin, cos and tan
- Q.12 Solve trigonometric equations I
- Q.13 Solve trigonometric equations II
- Q.14 Trigonometric ratios: find a side length
- Q.15 Trigonometric ratios: find an angle measure
- Q.16 Solve a right triangle
- Q.17 Law of Sines
- Q.18 Law of Cosines
- Q.19 Solve a triangle
- Q.20 Area of a triangle: sine formula
- Q.21 Area of a triangle: Law of Sines
- S.1 Complementary angle identities
- S.2 Symmetry and periodicity of trigonometric functions
- T.1 Central angles
- T.2 Arcs and chords
- T.3 Tangent lines
- T.4 Inscribed angles
- T.5 Angles in inscribed right triangles
- T.6 Angles in inscribed quadrilaterals
- U.1 Find the centre of a circle
- U.2 Find the radius or diameter of a circle
- U.3 Write equations of circles in standard form from graphs
- U.4 Write equations of circles in standard form using properties
- U.5 Convert equations of circles from general to standard form
- U.6 Find properties of circles from equations in general form
- U.7 Graph circles
- W.13 Geometric probability

## Year 13 skills

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