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. BSM will track your score, and the questions will automatically increase in difficulty as you improve!

Counting Addition Subtraction Multiplication Division Patterns Comparing Fractions and rational numbers Decimal numbers and decimal fractions Estimation and rounding Geometry Algebra Place values Measurement Mixed operations Time Number sequences Number theory Money and consumer maths Percents Ratios and proportions Probability and statistics Graphs Integers Equations and inequations Word problems Trigonometry Exponents,indices and roots Functions Coordinate geometry Absolute value Properties Differential Complex Numbers Inverse And Joint Variation Sequences and Series Vectors
reception
Year 1
Year 2
Year 3
Year 4
Year 5
Year 6
  • Lines, line segments and rays
  • Parallel, perpendicular and intersecting lines
  • Types of angles
  • Measure angles with a protractor
  • Find a missing angle - vertical angles
  • Find a missing angle - adjacent angles
  • Find a missing angle - supplementary angles I
  • Find a missing angle - vertical, adjacent and supplementary angles
  • Find a missing angle - supplementary angles II
  • Is it a polygon?
  • Number of sides in polygons
  • Regular and irregular polygons
  • Classify triangles
  • Parallel sides in quadrilaterals
  • Identify parallelograms
  • Identify trapeziums
  • Identify rectangles
  • Identify rhombuses
  • Classify quadrilaterals
  • Find missing angles in quadrilaterals
  • Find missing angles in triangles
  • Lines of symmetry
  • Rotational Symmetry
  • Reflection, rotation and translation
  • Identify congruent and similar figures
  • Identify three-dimensional figures
  • Count verticesa and edges
  • Count faces of shapes
  • Perimeter with whole number side lengths
  • Perimeter with decimal side lengths
  • Area of squares and rectangles
  • Area of triangles
  • Area of compound figures
  • Area between two rectangles
  • Perimeter of figures on grids
  • Area and perimeter: word problems
  • Use area and perimeter to determine cost
  • Volume of figures made of unit cubes
  • Volume of cubes and rectangular prisms
  • Area of figures on grids
Year 7
Year 8
  • Describing a line
  • Describing a plane
  • Identifying line segments
  • Identifying rays
  • Defining postulates
  • Defining theorems
  • Identifying angles
  • Types of pairs of angles
  • Find values of angles
  • Pythagorean theorem
  • Find values in a right triangle using pythagorean theorem
  • Properties of square
  • Perimeter and area of square : word problem
  • Problem solving Involving squares
  • Properties of rectangles
  • Perimeter and area of rectangles: word problem
  • Problem solving Involving rectangle
  • Properties of trapezoid
  • Perimeter and area of trapezoid: word problem
  • Problem solving involving trapezoid
  • Properties of parallelogram
  • Perimeter and area of parallelogram : word problem
  • Problem solving involving parallelogram
  • Properties of rhombus
  • Perimeter and area of rhombus: word problem
  • Problem solving involving rhombus
  • Properties of kite
  • Perimeter and area of kite: word problem
  • Problem solving involving kite
  • Perimeter And Area Of Kite: Word Problem
  • Identifying properties of circles
  • Illustrating tangents of a circle
  • Find length of segments or sectors of a circle
  • Circumference and area of circle: word problem
  • Illustrating Tangents Of A Circle
  • Find Length Of Segments Or Sectors Of A Circle
  • Perimeter And Area Of Triangle : Word Problem
  • Illustrating Hinge Theorem
  • Illustrating Exterior Angle Inequality Theorem
  • Illustrating Triangle Inequality Theorem
  • Properties of Triangle
  • Perimeter and area of Triangle : word problem
  • Problem Solving Involving Triangles
  • Proving triangle congruence by RHS (right, hypotenuse, side)
  • Proving triangle congruence by SSS (side,side, side)
  • Proving triangle congruence by SAS (side,angle, side)
  • Proving triangle congruence by AAS (angle, angle, side)
  • Proving triangle similarity by AAA (angle, angle, angle)
  • Proving triangle similarity by SSS (side, side, side)
  • Solves corresponding parts of congruent triangles
  • Identifying Theorems of Triangle Inequality
  • Proves Triangle Inequality
  • Unit Circle
  • Identifying sine
  • Identifying cosine
  • Identifying tangent
  • Special triangles
  • Trigonometric Ratios
  • Identifying Sine
  • Identifying Cosine
  • Identifying Tangent
  • Special Triangles
  • Identifying Sine Of 45-45-90 Triangle
  • Identifying Cosine 45-45-90 Triangle
  • Identifying Tangent 45-45-90 Triangle
  • Identifying Sine Of 30-60-90 Triangle
  • Identifying Cosine 30-60-90 Triangle
  • Identifying Tangent 30-60-90 Triangle
  • Identifying Angles Lying on the Same Side of the Transversal
  • Identifying pairs of alternate interior angles
  • Identifying pairs of alternate exterior angles
  • Identifying pairs of corresponding angles
  • Identifying pairs of co-interior angles
  • Find angle measurement
  • Defining Parallel And Transversal Lines
  • Identifying Angles Lying On The Same Side Of The Transversal
  • Identifying Pairs Of Alternate Interior Angles
  • Identifying Pairs Of Corresponding Angles
  • Identifying Pairs Of Co-Interior Angles
  • Find Angle Measurement
  • Identifying Pairs Of Alternate Exterior Angles
  • Surface area of cube: word problem
  • Volume of cube: word problem
  • Problem Solving Involving Cube
  • Surface Area of Rectangular Prism: word problem
  • Volume of Rectangular Prism: word problem
  • Problem Solving Involving Rectangular Prism
  • Surface Area of Square Pyramid: word problem
  • Volume of Square Pyramid: word problem
  • Problem solving involving square pyramid
  • Surface area of sphere: word problem
  • Volume of sphere: word problem
  • Problem solving involving sphere
Year 9
Year 10
  • Cartesian Plane : Mixed Review
  • Identifying parts of right triangle: mixed review
  • Angle Units
  • Trigonometric Circle
  • Deriving the value of sine
  • Deriving the value of cosine
  • Deriving the value of tangent
  • Identifying parts of a circle
  • Illustrating secants of a circle
  • Illustrating tangents of a circle
  • Illustrating segments of a circle
  • Illustrating sectors of a circle
  • Identifying relations among chords, arcs, central angles, and inscribed angles
  • Identifying right angles
  • Identifying obtuse angles
  • Identifying acute angles
  • Identifying reflex angles
  • Identifying straight angles
  • Identifying pair of supplementary angles
  • Identifying pair of complementary angles
  • Identifying pair of vertical angles
  • Identifying pair of adjacent angles
  • Solving complementary of an angle
  • Solving supplementary of an angle
  • Identifying pairs of interior angles
  • Identifying pairs of exterior angles
  • Identifying pairs of corresponding angles
  • Identifying pairs of co-interior angles
  • Identifying pairs of alternate interior angles
  • Determining unknown angle measurement
  • Defining Parallel And Transversal Lines
  • Determining a triangle
  • Proving triangle congruence by RHS (right, hypotenuse, side)
  • Proving triangle congruence by SSS (side,side, side)
  • Proving triangle congruence by SAS (side,angle, side)
  • Proving triangle congruence by AAS (angle, angle, side)
  • Proving triangle similarity by AAA (angle, angle, angle)
  • Proving triangle similarity by SSS (side, side, side)
  • Solving missing lengths
  • Computing area of square
  • Computing area of rectangle
  • Computing area of triangle
  • Computing area of trapezium
  • Computing area of parallelogram
  • Computing area of circle
  • Solving Problems involving square area
  • Solving Problems involving rectangle area
  • Solving Problems involving triangle area
  • Solving Problems involving trapezium area
  • Solving Problems involving parallelogram area
  • Solving Problems involving circle area
  • Illustrating Angle of Elevation
  • Illustrating angle of depression
  • Real world problems involving angle of elevation
  • Real world problems involving angle of depression
  • Illustrating rectangular prism
  • Illustrating cube
  • Illustrating triangular prism
  • Illustrating cylinder
  • Computing surface area of rectangular prism
  • Computing surface area of cube
  • Computing surface area of triangular prism
  • Computing surface area of cylinder
  • Computing volume of rectangular prism
  • Computing volume of cube
  • Computing volume of triangular prism
  • Computing volume of cylinder
  • Solving problems involving rectangular prism
  • Solving problems involving cube
  • Solving problems involving triangular prism
  • Solving problems involving cylinder
  • Illustrating square pyramid
  • Illustrating triangular pyramid
  • Illustrating right cone
  • Illustrating sphere
  • Computing surface area of square pyramid
  • Computing surface area of triangular pyramid
  • Computing surface area of right cone
  • Computing surface area of sphere
  • Computing volume of square pyramid
  • Computing volume of triangular pyramid
  • Computing volume of right cone
  • Computing volume of sphere
  • Solving problems involving square pyramid
  • Solving problems involving triangular pyramid
  • Solving problems involving right cone
  • Solving problems involving sphere
  • Computing volume of square pyramid
  • Computing volume of triangular pyramid
  • Illustrates FPC
  • Computing Volume Of Triangular Pyramid
  • Computing Volume Of Right Cone
  • Identifying Conic Sections
  • Identifying parts of conic section
  • Determining characteristics of a parabola
  • Writing equation of a parabola in standard form
  • Determining a Quadrilateral
  • Identifying Properties of Parallelograms
  • Identifying Properties of Rectangles
  • Identifying Properties of Rhombus
  • Identifying Properties of Square
  • Identifying Properties of Trapezium
  • Identifying Properties of Kite
  • Identifying Properties of Rectangles
  • Properties Of A Normal Probability Distribution
  • Converting Raw Scores To Z-Scores
  • Converting Z-Scores To Raw Scores
  • Determining Probabilities Under The Normal Curve
  • Locating Percentiles Under The Normal Curve
Year 11
  • Plot Complex Numbers In The Complex Plane
  • Find The Absolute Value Of Complex Numbers
  • Adding In The Complex Plane
  • Subtracting In The Complex Plane
  • Complex Conjugates In The Complex Plane
  • Distance Formula In The Complex Plane
  • Midpoint Formula In The Complex Plane
  • Use The Segment Addition Postulate
  • Use The Protractor Postulate
  • Use The Angle Addition Postulate
  • Identify Congruent Segments
  • Identify Congruent Angles
  • Construct Lines, Rays, Segments, And Angles
  • Construct Angle Bisectors
  • Construct Perpendicular Bisectors Of Segments
  • Use Deductive Reasoning To Prove Theorems
  • Use Inductive Reasoning To Identify Patterns And Make Predictions
  • Use Inductive Reasoning To Identify Patterns And Make Predictions
  • Use Inductive Reasoning To Support Conjectures
  • Use Counterexamples To Disprove Conjectures
  • Present Conjectures As Conditional Statements
  • Write Conditional And Biconditional Statements
  • Find The Converse Of Conditional Statements
  • Find The Inverse Of Conditional Statements
  • Find The Contrapositive Of Conditional Statements
  • Find And Complete Truth Tables For Conditional Statements
  • Use The Laws Of Detachment
  • Use The Laws Of Syllogism
  • Vertical Angles Theorem
  • Congruent Supplements Theorem
  • Congruent Complements Theorem
  • Linear Pairs Theorem
  • Use Deductive Reasoning To Write Direct Proofs
  • Use Inductive Reasoning To Write Proofs
  • Write Two Column Proofs Of Theorems About Lines And Angles
  • Write Paragraph Proofs Of Theorems About Lines And Angles
  • Use Indirect Reasoning To Prove Theorems About Lines And Angles
  • Use Inductive Reasoning To Write Proofs
  • Use Proof By Contradiction To Prove Conditional Statements
  • Use Proof By Contrapositive To Prove Conditional Statements
  • Use The Same-Side Interior Angles Postulate
  • Use The Alternate Interior Angles Theorem
  • Use The Corresponding Angles Theorem
  • Use The Alternate Exterior Angles Theorem
  • Triangle Angle-Sum Theorem
  • Triangle Exterior Angle Theorem
  • Determine If Two Lines Are Parallel Or Perpendicular
  • Identify Rigid Motions
  • Reflect A Figure Across A Line
  • Reflect A Figure On A Coordinate Plane
  • Write A Rule For A Reflection
  • Write A Rule For A Rotation
  • Identify The Image Of A Glide Reflection
  • Identify Transformations For Symmetry
  • Identify Lines Of Symmetry
  • Identify Rotational Symmetry
  • Write Rules For Translations
  • Understand The Polygon Exterior Angle-Sum Theorem
  • Use The Polygon Exterior Angle-Sum Theorem To Solve Problems
  • Use The Polygon Interior Angle-Sum Theorem To Solve Problems
  • Understand The Properties Of The Diagonals Of A Kite
  • Use The Diagonals Of A Kite To Solve Problems
  • Understand The Properties Of The Diagonals Of An Isosceles Trapezoid
  • Solve Problems Using Isosceles Trapezoids11
  • Use Opposite Sides Of A Parallelogram To Solve Problems
  • Use Angles Of A Parallelogram To Solve Problems
  • Find Unknown Lengths In A Parallelogram
  • Verify That A Quadrilateral Is A Parallelogram Given Its Sides And Diagonals
  • Verify That A Quadrilateral Is A Parallelogram Given Its Angles
  • Find The Diagonals Of A Rhombus
  • Find Lengths In A Rhombus
  • Find Angle Measures In A Rhombus
  • Find Diagonal Lengths Of A Rectangle
  • Use Diagonals To Identify Parallelograms (Rhombus, Rectangle, Etc)
  • Identify Dilations Of A Figure
  • Find A Scale Factor Of A Dilation
  • Dilate A Figure With A Center At The Origin
  • Dilate A Figure With A Center Not At The Origin
  • Use A Scale Factor To Find Length And Area
  • Graph A Composition Of A Rigid Motion And A Dilation
  • Find Similarity Transformations
  • Identify Similar Triangles Formed By An Altitude
  • Use The Geometric Mean To Solve Problems
  • Use Coordinate Geometry To Classify Triangles On The Coordinate Plane
  • Use Coordinate Geometry To Classify Parallelograms On The Coordinate Plane
  • Use Coordinate Geometry To Classify Trapezoids On The Coordinate Plane
  • Use Coordinate Proofs To Solve Problems
  • Use Coordinate Geometry To Classify Kites On The Coordinate Plane
  • Graph A Circle
  • Understand The Relationship Between The Focus And Directrix Of A Parabola
  • Write The Equation Of A Parabola Given The Focus And Directrix
  • Understand The Polygon Interior Angle-Sum Theorem
  • Use Euler’s Formula To Calculate Faces, Vertices, And Edges
  • Describe Cross Sections Of Polyhedrons
  • Draw A Cross Section
  • Rotate A Polygon To Form A 3D Figure
  • Determine Whether Volume Or Surface Area Is Best For Describing Size
  • Apply Cavalieri’s Principle To Prisms
  • Apply Cavalieri’s Principle To Cylinders
  • Apply Cavalieri’s Principle To Pyramids
  • Apply Cavalieri’s Principle To Cones
  • Apply Cavalieri’s Principle To Spheres
  • Find The Volumes Of Hemispheres
  • Find The Volumes Of Composite Figures
Year 12
  • Use the center, the radius, and the Pythagorean theorem to derive the equation of a circle.
  • Foci Of An Ellipse
  • Major And Minor Axis Of An Ellipse
  • Co-Vertices Of An Ellipse
  • Derive The Equation Of An Ellipse
  • Graph Ellipses
  • Graph Ellipses Using Translations
  • Eccentricity Of An Ellipse
  • Foci Of A Hyperbola
  • Axes Of A Hyperbola
  • Vertices Of A Hyperbola
  • Asymptotes Of A Hyperbola
  • Use The Distance Formula And Foci To Derive The Equation Of A Hyperbola
  • Graph Hyperbolas
  • Classify A Second Degree Equation As Either A Parabola, Circle, Ellipse, Or Hyperbola From General Equations.
  • Classify A Second Degree Equation As Either A Parabola, Circle, Ellipse, Or Hyperbola Using The Discriminant
  • Rotation Of Axes For An Ellipse
  • Rotation Of Axes For A Hyperbola
  • Rotation Of Axes For A Parabola