# Geometry

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

## Preschool 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

## Reception skills

- M.1 Inside and outside
- M.2 Above and below
- M.3 Above and below - find solid figures
- M.4 Beside and next to
- M.5 Beside and next to - find solid figures
- M.6 Left, middle and right
- M.7 Top, middle and bottom
- M.8 Location in a grid
- O.7 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
- 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

## Grade 1 skills

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

## Grade 2 skills

- R.1 Left, middle and right
- R.2 Top, middle and bottom
- R.3 Location in a grid
- S.11 Sort shapes into a Venn diagram
- S.12 Count shapes in a Venn diagram
- U.1 Name the two-dimensional shape
- U.2 Select two-dimensional shapes
- U.3 Count sides and vertices
- U.4 Compare sides and vertices
- U.5 Flip, turn and slide
- U.6 Identify congruent shapes
- U.7 Symmetry
- V.1 Name the three-dimensional shape
- V.2 Select three-dimensional shapes
- V.3 Count vertices, edges and faces
- V.4 Compare vertices, edges and faces
- V.5 Identify shapes traced from solids
- V.6 Identify faces of three-dimensional shapes
- V.7 Shapes of everyday objects I
- V.8 Shapes of everyday objects II
- W.1 Perimeter
- W.2 Perimeter - word problems
- W.3 Area
- W.4 Select figures with a given area
- W.5 Create figures with a given area

## Grade 3 skills

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

## Grade 4 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 Types of triangles
- Q.13 Identify congruent figures
- Q.14 Identify lines of symmetry
- Q.15 Rotational symmetry
- 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 Area and perimeter of figures on grids
- R.8 Find the area or missing side length of a rectangle
- R.9 Area and perimeter: word problems
- R.10 Volume

## Grade 5 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
- V.1 Lines of symmetry
- V.2 Rotational symmetry
- V.3 Reflection, rotation and translation
- V.4 Identify congruent and similar figures
- W.1 Identify three-dimensional figures
- W.2 Count vertices, edges and faces
- W.3 Nets of three-dimensional figures
- W.4 Three-dimensional figures viewed from different perspectives
- X.1 Perimeter
- X.2 Area of figures made of unit squares
- X.3 Area of squares and rectangles
- X.4 Area and perimeter of figures on grids
- X.5 Volume

## Grade 6 skills

- W.1 Identify and classify polygons
- W.2 Measure and classify angles
- W.3 Estimate angle measurements
- W.4 Classify triangles
- W.5 Identify trapeziums
- W.6 Classify quadrilaterals
- W.7 Graph triangles and quadrilaterals
- W.8 Find missing angles in triangles and quadrilaterals
- W.9 Sums of angles in polygons
- W.10 Name angles
- W.11 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 Dilations: graph the image
- X.10 Dilations: find the coordinates
- X.11 Dilations: scale factor and classification
- X.12 Similar and congruent figures
- X.13 Find side lengths of similar figures
- Y.1 Identify polyhedra
- Y.2 Which figure is being described?
- Y.3 Nets of three-dimensional figures
- Y.4 Front, side and top view
- Z.1 Perimeter
- Z.2 Area of figures made of unit squares
- Z.3 Area of squares and rectangles
- Z.4 Area of triangles
- Z.5 Area of parallelograms and trapeziums
- Z.6 Area of compound figures
- Z.7 Area between two rectangles
- Z.8 Area and perimeter of figures on grids
- Z.9 Area and perimeter: word problems
- Z.10 Rectangles: relationship between perimeter and area
- Z.11 Compare area and perimeter of two rectangles
- Z.12 Volume of figures made of unit cubes
- Z.13 Volume of cubes and rectangular prisms
- Z.14 Surface area of cubes and rectangular prisms
- Z.15 Volume and surface area of triangular prisms

## Grade 7 skills

- P.4 Distance between two points
- U.1 Identify and classify polygons
- U.2 Name, measure and classify angles
- U.3 Estimate angle measurements
- U.4 Classify triangles
- U.5 Identify trapeziums
- U.6 Classify quadrilaterals
- U.7 Graph triangles and quadrilaterals
- U.8 Find missing angles in triangles and quadrilaterals
- U.9 Interior angles of polygons
- U.10 Lines, line segments and rays
- U.11 Parallel, perpendicular and intersecting lines
- U.12 Identify complementary, supplementary, vertical, adjacent and congruent angles
- U.13 Find measures of complementary, supplementary, vertical and adjacent angles
- U.14 Transversal of parallel lines
- U.15 Find lengths and measures of bisected line segments and angles
- 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 Dilations: graph the image
- V.10 Dilations: find the coordinates
- V.11 Dilations: scale factor and classification
- V.12 Similar and congruent figures
- V.13 Side lengths and angle measures of congruent figures
- V.14 Congruence statements and corresponding parts
- V.15 Side lengths and angle measures of similar figures
- V.16 Similar figures and indirect measurement
- W.1 Construct the midpoint or perpendicular bisector of a segment
- W.2 Construct an angle bisector
- W.3 Construct a congruent angle
- W.4 Construct a perpendicular line
- W.5 Construct parallel lines
- W.6 Construct an equilateral triangle or regular hexagon
- X.1 Bases of three-dimensional figures
- X.2 Nets of three-dimensional figures
- X.3 Front, side and top view
- Y.1 Perimeter
- Y.2 Rectangles: relationship between perimeter and area
- Y.3 Area of rectangles and parallelograms
- Y.4 Area of triangles and trapeziums
- Y.5 Area between two shapes
- Y.6 Area and perimeter: word problems
- Y.7 Volume
- Y.8 Surface area
- Y.9 Perimeter, area and volume: changes in scale

## Grade 8 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 Estimate angle measurements
- O.12 Find lengths and measures of bisected line segments and angles
- O.13 Parts of a circle
- P.1 Symmetry
- P.2 Count lines of symmetry
- P.3 Draw lines of symmetry
- P.4 Identify reflections, rotations and translations
- P.5 Translations: graph the image
- P.6 Translations: find the coordinates
- P.7 Reflections: graph the image
- P.8 Reflections: find the coordinates
- P.9 Rotations: graph the image
- P.10 Rotations: find the coordinates
- P.11 Side lengths and angle measures of congruent figures
- P.12 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 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 between two shapes
- U.4 Area and perimeter: word problems
- 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
- AA.5 Add polynomials to find perimeter

## Grade 9 skills

- E.4 Minimum and maximum area and volume
- E.6 Percent error: area and volume
- F.1 Identify and classify polygons
- F.2 Classify quadrilaterals
- F.3 Perimeter
- F.4 Area
- F.5 Transversal of parallel lines
- F.6 Parts of three-dimensional figures
- F.7 Nets of three-dimensional figures
- F.8 Volume
- F.9 Surface area
- F.10 Congruent figures: side lengths and angle measures
- F.11 Congruent triangles: SSS, SAS and ASA
- F.12 Similar figures: side lengths and angle measures
- F.13 Similar triangles and indirect measurement
- F.14 Area and perimeter of similar figures
- F.15 Area between two shapes
- F.16 Similar solids
- F.17 Volume and surface area of similar solids
- F.18 Perimeter, area and volume: changes in scale
- F.19 Identify reflections, rotations and translations
- F.20 Reflections, rotations and translations: find the coordinates
- F.21 Reflections, rotations and translations: graph the image
- F.22 Dilations and scale factors
- F.23 Pythagoras' theorem
- F.24 Pythagoras' theorem: word problems
- F.25 Converse of Pythagoras' theorem: is it a right triangle?
- G.1 Construct the midpoint or perpendicular bisector of a segment
- G.2 Construct an angle bisector
- G.3 Construct a congruent angle
- G.4 Construct a perpendicular line
- G.5 Construct parallel lines
- G.6 Construct an equilateral triangle or regular hexagon
- H.3 Distance between two points
- V.5 Add polynomials to find perimeter

## Grade 10 skills

- C.2 Midpoints
- C.3 Distance between two points
- G.24 Find the distance between a point and a line
- G.25 Find the distance between two parallel lines
- M.5 Add polynomials to find perimeter
- T.1 Identify parallel, perpendicular and skew lines and planes
- T.2 Transversals: name angle pairs
- T.3 Transversals of parallel lines: find angle measures
- U.1 Three-dimensional figure vocabulary
- U.2 Parts of three-dimensional figures
- U.3 Nets and drawings of three-dimensional figures
- U.4 Cross-sections of three-dimensional figures
- U.5 Solids of revolution
- V.1 Congruence statements and corresponding parts
- V.2 Solve problems involving corresponding parts
- V.3 Identify congruent figures
- V.4 SSS, SAS, ASA and AAS Theorems
- V.5 SSS Theorem in the coordinate plane
- V.6 Congruency in isosceles and equilateral triangles
- W.1 Classify triangles
- W.2 Triangle Angle-Sum Theorem
- W.3 Midsegments of triangles
- W.4 Triangles and bisectors
- W.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
- W.6 Angle-side relationships in triangles
- W.7 Triangle Inequality Theorem
- X.1 Identify trapeziums
- X.2 Classify quadrilaterals
- X.3 Graph quadrilaterals
- X.4 Properties of parallelograms
- X.5 Proving a quadrilateral is a parallelogram
- X.6 Properties of rhombuses
- X.7 Properties of squares and rectangles
- X.8 Properties of trapeziums
- X.9 Properties of kites
- X.10 Review: properties of quadrilaterals
- 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 Trigonometric ratios: sin, cos and tan
- AA.2 Trigonometric ratios: csc, sec and cot
- AA.3 Trigonometric ratios in similar right triangles
- AA.4 Trigonometric functions of complementary angles
- AA.5 Find trigonometric functions of special angles
- AA.6 Find trigonometric functions using a calculator
- AA.7 Inverses of trigonometric functions
- AA.8 Trigonometric ratios: find a side length
- AA.9 Trigonometric ratios: find an angle measure
- AA.10 Solve a right triangle
- BB.1 Introduction to surface area and volume
- BB.2 Surface area of prisms and cylinders
- BB.3 Surface area of pyramids and cones
- BB.4 Volume of prisms and cylinders
- BB.5 Volume of pyramids and cones
- BB.6 Surface area and volume of spheres
- BB.7 Introduction to similar solids
- BB.8 Surface area and volume of similar solids
- BB.9 Surface area and volume review
- DD.6 Geometric probability

## Grade 11 skills

- N.1 Identify the direction a parabola opens
- N.2 Find the vertex of a parabola
- N.3 Find the focus or directrix of a parabola
- N.4 Find the axis of symmetry of a parabola
- N.5 Write equations of parabolas in vertex form from graphs
- N.6 Write equations of parabolas in vertex form using properties
- N.7 Convert equations of parabolas from general to vertex form
- N.8 Find properties of a parabola from equations in general form
- N.9 Graph parabolas
- O.1 Find the centre, vertices or co-vertices of an ellipse
- O.2 Find the length of the major or minor axes of an ellipse
- O.3 Find the foci of an ellipse
- O.4 Write equations of ellipses in standard form from graphs
- O.5 Write equations of ellipses in standard form using properties
- O.6 Convert equations of ellipses from general to standard form
- O.7 Find properties of ellipses from equations in general form
- P.1 Find the centre of a hyperbola
- P.2 Find the vertices of a hyperbola
- P.3 Find the length of the transverse or conjugate axes of a hyperbola
- P.4 Find the equations for the asymptotes of a hyperbola
- P.5 Find the foci of a hyperbola
- P.6 Write equations of hyperbolas in standard form from graphs
- P.7 Write equations of hyperbolas in standard form using properties
- P.8 Convert equations of hyperbolas from general to standard form
- P.9 Find properties of hyperbolas from equations in general form
- Q.1 Convert between radians and degrees
- Q.2 Radians and arc length
- Q.5 Coterminal angles
- Q.6 Reference angles
- R.1 Pythagoras' Theorem and its converse
- R.2 Special right triangles
- R.3 Trigonometric ratios: sin, cos and tan
- R.4 Trigonometric ratios: csc, sec and cot
- R.5 Trigonometric ratios in similar right triangles
- R.6 Find trigonometric ratios using the unit circle
- R.7 Sin, cos and tan of special angles
- R.9 Find trigonometric functions using a calculator
- R.10 Inverses of sin, cos and tan
- R.12 Solve trigonometric equations I
- R.13 Solve trigonometric equations II
- R.14 Trigonometric ratios: find a side length
- R.15 Trigonometric ratios: find an angle measure
- R.16 Solve a right triangle
- R.17 Law of Sines
- R.18 Law of Cosines
- R.19 Solve a triangle
- R.20 Area of a triangle: sine formula
- R.21 Area of a triangle: Law of Sines
- T.1 Complementary angle identities
- T.2 Symmetry and periodicity of trigonometric functions
- U.1 Parts of a circle
- U.2 Central angles
- U.3 Arc measure and arc length
- U.4 Area of sectors
- U.5 Circle measurements: mixed review
- U.6 Arcs and chords
- U.7 Tangent lines
- U.8 Perimeter of polygons with an inscribed circle
- U.9 Inscribed angles
- U.10 Angles in inscribed right triangles
- U.11 Angles in inscribed quadrilaterals
- V.1 Find the centre of a circle
- V.2 Find the radius or diameter of a circle
- V.3 Write equations of circles in standard form from graphs
- V.4 Write equations of circles in standard form using properties
- V.5 Convert equations of circles from general to standard form
- V.6 Find properties of circles from equations in general form
- V.7 Graph circles

## Grade 12 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 Similarity ratios
- K.2 Similarity statements
- K.3 Side lengths and angle measures in similar figures
- K.4 Similarity rules for triangles
- K.5 Similar triangles and similarity transformations
- L.1 Find properties of parabolas
- L.2 Write equations of parabolas in vertex form
- L.3 Graph parabolas
- L.4 Find properties of circles
- L.5 Write equations of circles in standard form
- L.6 Graph circles
- L.7 Find properties of ellipses
- L.8 Find the eccentricity of an ellipse
- L.9 Write equations of ellipses in standard form
- L.10 Find properties of hyperbolas
- L.11 Find the eccentricity of a hyperbola
- L.12 Write equations of hyperbolas in standard form
- L.13 Convert equations of conic sections from general to standard form
- N.8 Distance in the Argand plane