# 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.

## Upper kindergarten 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
- L.9 Count shapes in a Venn diagram
- Q.1 Name the two-dimensional shape
- Q.2 Circles
- Q.3 Triangles
- Q.4 Squares and rectangles
- Q.5 Hexagons
- Q.6 Select two-dimensional shapes
- Q.7 Count sides and corners
- Q.8 Compare sides and corners
- Q.9 Introduction to symmetry
- Q.10 Identify pictures with symmetry
- R.1 Two-dimensional and three-dimensional shapes
- R.2 Name the three-dimensional shape
- R.3 Spheres
- R.4 Cubes
- R.5 Cones
- R.6 Cylinders
- R.7 Select three-dimensional shapes
- R.8 Identify shapes traced from solids
- R.9 Shapes of everyday objects I
- R.10 Shapes of everyday objects II

## Class I 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 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
- O.1 Above and below
- O.2 Beside and next to
- O.3 Left, middle and right
- O.4 Top, middle and bottom
- O.5 Location in a grid
- U.2 Count shapes in a Venn diagram

## Class II skills

- O.1 Name the two-dimensional shape
- O.2 Select two-dimensional shapes
- O.3 Count sides and vertices
- O.4 Compare sides and vertices
- O.5 Name the three-dimensional shape
- O.6 Select three-dimensional shapes
- O.7 Count vertices, edges and faces
- O.8 Compare vertices, edges and faces
- O.9 Flip, turn and slide

## Class III skills

- M.5 Sort shapes into a Venn diagram
- M.6 Count shapes in a Venn diagram
- 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 Reflection, rotation and translation
- Q.8 Symmetry
- Q.10 Find the area of rectangles and squares
- Q.11 Find the missing side length of a rectangle

## Class IV 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 Nets of three-dimensional figures
- M.7 Number of sides in polygons
- M.8 Identify lines of symmetry
- M.9 Rotational symmetry
- 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 Use perimeter to determine cost
- 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 or missing side length of a rectangle
- N.11 Area and perimeter: word problems

## Class V skills

- O.1 Which figure is being described?
- O.2 Number of sides in polygons
- O.3 Regular and irregular polygons
- O.4 Types of angles
- O.5 Measure angles with a protractor
- O.6 Lines of symmetry
- O.7 Rotational symmetry
- O.8 Reflection, rotation and translation
- O.9 Identify three-dimensional figures
- O.10 Count vertices, edges and faces
- O.11 Nets of three-dimensional figures
- O.12 Three-dimensional figures viewed from different perspectives
- P.1 Perimeter
- P.2 Perimeter: find the missing side lengths
- P.3 Area of squares and rectangles
- P.4 Area and perimeter of figures on grids
- P.5 Area and perimeter: word problems
- P.6 Use area and perimeter to determine cost
- P.7 Volume of figures made of unit cubes

## Class VI skills

- S.1 Is it a polygon?
- S.2 Types of angles
- S.3 Measure angles with a protractor
- S.4 Regular and irregular polygons
- S.5 Number of sides in polygons
- S.6 Classify triangles
- S.7 Identify trapeziums
- S.8 Classify quadrilaterals
- S.9 Graph triangles and quadrilaterals
- S.10 Find the unknown angle in triangles and quadrilaterals
- S.11 Lines, line segments and rays
- S.12 Parallel, perpendicular and intersecting lines
- S.13 Parts of a circle
- T.1 Lines of symmetry
- T.2 Rotational symmetry
- T.3 Reflection, rotation and translation
- T.4 Identify congruent and similar figures
- U.1 Construct the midpoint or perpendicular bisector of a segment
- U.2 Construct an angle bisector
- U.3 Construct a perpendicular line
- U.4 Construct an equilateral triangle or regular hexagon
- V.1 Identify three-dimensional figures
- V.2 Count vertices, edges and faces
- V.3 Which figure is being described?
- V.4 Nets of three-dimensional figures
- V.5 Three-dimensional figures viewed from different perspectives
- W.1 Perimeter
- W.2 Area of squares and rectangles
- W.3 Area of compound figures
- W.4 Area between two rectangles
- W.5 Area and perimeter of figures on grids
- W.6 Area and perimeter: word problems
- W.7 Use area and perimeter to determine cost
- W.8 Volume of figures made of unit cubes

## Class VII skills

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

## Class VIII skills

- 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 Properties of parallelograms
- O.7 Properties of rhombuses
- O.8 Properties of squares and rectangles
- O.9 Find missing angles in triangles and quadrilaterals
- O.10 Interior angles of polygons
- O.11 Lines, line segments and half lines
- O.12 Identify complementary, supplementary, vertical, adjacent and congruent angles
- O.13 Find measures of complementary, supplementary, vertical and adjacent angles
- O.14 Transversal of parallel lines
- O.15 Find lengths and measures of bisected line segments and angles
- O.16 Parts of a circle
- O.17 Symmetry
- O.18 Count lines of symmetry
- O.19 Draw lines of symmetry
- P.1 Similar and congruent figures
- P.2 Side lengths and angle measures of congruent figures
- P.3 Congruence statements and corresponding parts
- P.4 Congruent triangles: SSS, SAS and ASA
- P.5 Side lengths and angle measures of similar figures
- Q.1 Construct the midpoint or perpendicular bisector of a segment
- Q.2 Construct an angle bisector
- Q.3 Construct a congruent angle
- Q.4 Construct a perpendicular line
- Q.5 Construct parallel lines
- Q.6 Construct an equilateral triangle or regular hexagon
- 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 and cylinders
- T.9 Volume and surface area of similar solids
- T.10 Perimeter, area and volume: changes in scale
- X.5 Add polynomials to find perimeter
- X.13 Multiply polynomials to find area

## Class IX skills

- E.4 Minimum and maximum area and volume
- E.6 Percent error: area and volume
- F.1 Transversals: name angle pairs
- F.2 Transversals of parallel lines: find angle measures
- F.3 Identify complementary, supplementary, vertical, adjacent and congruent angles
- F.4 Find measures of complementary, supplementary, vertical and adjacent angles
- G.1 Classify triangles
- G.2 Triangle angle-sum property
- G.3 Exterior angle property
- G.4 Exterior angle inequality
- G.5 Angle-side relationships in triangles
- G.6 Triangle Inequality Theorem
- G.7 Midsegments of triangles
- G.8 SSS, SAS and ASA Theorems
- G.9 SSS Theorem in the coordinate plane
- G.10 Congruency in isosceles and equilateral triangles
- G.11 Hypotenuse-Leg Theorem
- H.1 Classify quadrilaterals
- H.2 Graph quadrilaterals
- H.3 Properties of parallelograms
- H.4 Proving a quadrilateral is a parallelogram
- H.5 Properties of rhombuses
- H.6 Properties of squares and rectangles
- H.7 Properties of trapeziums
- H.8 Properties of kites
- H.9 Review: properties of quadrilaterals
- I.1 Polygon vocabulary
- I.2 Interior angles of polygons
- I.3 Exterior angles of polygons
- I.4 Review: interior and exterior angles of polygons
- J.1 Perimeter
- J.2 Area of rectangles and squares
- J.3 Area of parallelograms and triangles
- J.4 Area of trapeziums
- J.5 Area and circumference of circles
- J.6 Area of compound figures
- J.7 Area between two shapes
- J.8 Area and perimeter mixed review
- J.9 Heron's formula
- K.1 Introduction to surface area and volume
- K.2 Surface area of prisms and cylinders
- K.3 Surface area of cones
- K.4 Volume of prisms and cylinders
- K.5 Volume of cones
- K.6 Surface area and volume of spheres
- K.7 Surface area and volume review
- L.1 Parts of a circle
- L.2 Central angles
- L.3 Arc measure and arc length
- L.4 Area of sectors
- L.5 Circle measurements: mixed review
- L.6 Arcs and chords
- L.7 Tangent lines
- L.8 Perimeter of polygons with an inscribed circle
- L.9 Inscribed angles
- L.10 Angles in inscribed right triangles
- L.11 Angles in inscribed quadrilaterals
- M.1 Construct the midpoint or perpendicular bisector of a segment
- M.2 Construct an angle bisector
- M.3 Construct a congruent angle
- M.4 Construct an equilateral triangle or regular hexagon
- Z.5 Add polynomials to find perimeter

## Class X skills

- D.20 Find the distance between a point and a line
- D.21 Find the distance between two parallel lines
- H.5 Add polynomials to find perimeter
- L.1 Lines, line segments and half lines
- L.2 Lengths of segments on number lines
- L.3 Additive property of length
- L.4 Midpoints
- L.5 Congruent line segments
- L.6 Perpendicular Bisector Theorem
- L.7 Midpoint formula
- L.8 Distance formula
- M.1 Polygon vocabulary
- M.2 Perimeter
- M.3 Area of triangles and quadrilaterals
- M.4 Area and perimeter in the coordinate plane I
- M.5 Area and perimeter in the coordinate plane II
- M.6 Area and circumference of circles
- M.7 Area of compound figures
- M.8 Area between two shapes
- M.9 Area and perimeter of similar figures
- N.1 Translations: find the coordinates
- N.2 Reflections: find the coordinates
- N.3 Rotations: find the coordinates
- N.4 Congruence transformations
- N.5 Compositions of congruence transformations: graph the image
- N.6 Transformations that carry a polygon onto itself
- N.7 Dilations: graph the image
- N.8 Dilations: find the coordinates
- N.9 Dilations: scale factor and classification
- N.10 Dilations and parallel lines
- O.1 Classify triangles
- O.2 Triangle Angle-Sum Theorem
- O.3 Midsegments of triangles
- O.4 Triangles and bisectors
- O.5 Identify medians, altitudes, angle bisectors and perpendicular bisectors
- O.6 Angle-side relationships in triangles
- O.7 Triangle Inequality Theorem
- P.1 Identify similar figures
- P.2 Similarity ratios
- P.3 Similarity statements
- P.4 Side lengths and angle measures in similar figures
- P.5 Similar triangles and indirect measurement
- P.6 Perimeters of similar figures
- P.7 Similarity rules for triangles
- P.8 Similar triangles and similarity transformations
- P.9 Areas of similar figures
- Q.1 Pythagoras' Theorem
- Q.2 Converse of Pythagoras' theorem
- Q.3 Pythagoras' Inequality Theorems
- Q.4 Special right triangles
- R.1 Parts of a circle
- R.2 Central angles
- R.3 Arc measure and arc length
- R.4 Area of sectors
- R.5 Circle measurements: mixed review
- R.6 Arcs and chords
- R.7 Tangent lines
- R.8 Perimeter of polygons with an inscribed circle
- R.9 Inscribed angles
- R.10 Angles in inscribed right triangles
- R.11 Angles in inscribed quadrilaterals
- S.1 Trigonometric ratios: sin, cos and tan
- S.2 Trigonometric ratios: csc, sec and cot
- S.3 Trigonometric functions of complementary angles
- S.4 Find trigonometric functions of special angles
- S.5 Find trigonometric functions using a calculator
- S.6 Inverses of trigonometric functions
- S.7 Trigonometric ratios: find a side length
- S.8 Trigonometric ratios: find an angle measure
- S.9 Solve a right triangle
- T.1 Introduction to surface area and volume
- T.2 Surface area of prisms and cylinders
- T.3 Surface area of cones
- T.4 Volume of prisms and cylinders
- T.5 Volume of cones
- T.6 Surface area and volume of spheres
- T.7 Introduction to similar solids
- T.8 Surface area and volume of similar solids
- T.9 Surface area and volume review
- U.4 Minimum and maximum area and volume
- U.6 Percent error: area and volume
- X.6 Geometric probability
- AA.1 Construct a tangent line to a circle
- AA.2 Construct an equilateral triangle inscribed in a circle
- AA.3 Construct a regular hexagon inscribed in a circle
- AA.4 Construct the circumcenter or incenter of a triangle
- AA.5 Construct the inscribed or circumscribed circle of a triangle

## Class XI skills

- G.8 Distance in the Argand plane
- K.1 Identify the direction a parabola opens
- K.2 Find the vertex of a parabola
- K.3 Find the focus or directrix of a parabola
- K.4 Find the axis of symmetry of a parabola
- K.5 Write equations of parabolas in vertex form from graphs
- K.6 Write equations of parabolas in vertex form using properties
- K.7 Convert equations of parabolas from general to vertex form
- K.8 Find properties of a parabola from equations in general form
- K.9 Graph parabolas
- L.1 Find the centre of a circle
- L.2 Find the radius or diameter of a circle
- L.3 Write equations of circles in standard form from graphs
- L.4 Write equations of circles in standard form using properties
- L.5 Convert equations of circles from general to standard form
- L.6 Find properties of circles from equations in general form
- L.7 Graph circles
- M.1 Find the center, vertices, or co-vertices of an ellipse
- M.2 Find the length of the major or minor axes of an ellipse
- M.3 Find the foci of an ellipse
- M.4 Write equations of ellipses in standard form from graphs
- M.5 Write equations of ellipses in standard form using properties
- M.6 Convert equations of ellipses from general to standard form
- M.7 Find properties of ellipses from equations in general form
- N.1 Find the center of a hyperbola
- N.2 Find the vertices of a hyperbola
- N.3 Find the length of the transverse or conjugate axes of a hyperbola
- N.4 Find the equations for the asymptotes of a hyperbola
- N.5 Find the foci of a hyperbola
- N.6 Write equations of hyperbolas in standard form from graphs
- N.7 Write equations of hyperbolas in standard form using properties
- N.8 Convert equations of hyperbolas from general to standard form
- N.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
- EE.12 Geometric probability

## Class XII skills

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