Geometry

Activities

Estimating Angles
Activity
Estimate the size of the given acute angles in degrees.

Area of a Triangle
Activity
Calculate the areas of the given triangles in this self marking quiz.

Angle Points
Activity
Apply the properties of angles at a point, angles on a straight line and vertically opposite angles.

Angles in a Triangle
Activity
A self marking exercise involving calculating the unknown angle in a triangle.

Area Maze
Activity
Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams.

Area Two
Activity
How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?

Polygons
Activity
Name the polygons and show the number of lines and order of rotational symmetry.

Angle Parallels
Activity
Understand and use the relationship between parallel lines and alternate and corresponding angles.

Angle Chase
Activity
Find all of the angles on the geometrical diagrams.

Quad Areas
Activity
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.

Volume
Activity
Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.

Measuring Units
Activity
Check your knowledge of the units used for measuring with this self-marking quiz about metric and imperial units.

Transformations
Activity
Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.

Polygon Angles
Activity
A mixture of problems related to calculating the interior and exterior angles of polygons.

Polygon Pieces
Activity
Arrange the nine pieces of the puzzle on the grid to make different polygons.

Polybragging
Activity
The Transum version of the Top Trumps game played online with the properties of polygons.

Areas of Composite Shapes
Activity
Find the areas of combined (composite) shapes made up of one or more simple polygons and circles.

Circle Theorems Exercise
Activity
Show that you understand and can apply the circle theorems with this self marking exercise.

Polygon Properties
Activity
Connect the names of the polygons with the descriptions of their properties.

Formulae Pairs
Activity
Find the matching pairs of diagrams and formulae for basic geometrical shapes.

Congruent Triangles
Activity
Test your understanding of the criteria for congruence of triangles with this self-marking quiz.

Angles Mixed
Activity
Find the unknown angles by using the basic angle theorems.

Proof of Circle Theorems
Activity
Arrange the stages of the proofs for the standard circle theorems in the correct order.

Geometry Toolbox
Activity
Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.

Surface Area
Activity
Work out the surface areas of common solid shapes in this collection of exercises.

Congruent Parts
Activity
Use the colours to dissect the outlines into congruent parts.

Similar Parts
Activity
Use the colours to dissect the outlines into similar parts.

Investigations

Polygon Areas
Activity
Investigate which polygons have an area of 4 square units on this interactive dotty grid.

Area shapes
Activity
Investigate polygons with an area of 4 square units. This is your starting point, you can decide how to proceed.

Pin Board
Activity
Rows and columns of dots that can be joined using straight lines to create shapes.

Tessellations
Activity
Drag the shapes onto the canvas to create tessellating patterns then try the tessellations quiz.

How Many Rectangles?
Activity
Investigate the number of rectangles on a grid of squares. What strategies will be useful in coming up with the answer?

Rectangle Perimeters
Activity
The perimeter of a rectangle is 28cm. What could its area be?

Polygon Hunting
Activity
Find all the polygons that can be drawn by joining dots on this seven dot grid.

Maxvoltray
Activity
Find the maximum volume of a tray made from an A4 sheet of paper. A practical mathematical investigation.

Videos

This is the main Transum help video on Geometry.

Angle Points Video
Activity
See a demonstration of angles in a full turn around a point, angles together on a straight line and vertically opposite angles.

Parallelogram
Activity
Instructional video showing how the area of a parallelogram can be determined.

Different types of Triangle
Activity
Euclid and his friends explain how many different kinds of triangle there are.

Construct a congruent triangle
Activity
Construction (with compass and straight edge) of a triangle congruent to a given triangle.

Polygon Angles Video
Activity
A concise reminder about angles, both interior and exterior, in regular and irregular polygons.

Naming Polygons
Activity
An exploration of the terminology, etymology and structure of naming polygons

Congruent Triangles Video
Activity
Learn the conditions for two triangles to be congruent and then use this information to solve problems.

Visual Aids

Kite Maths
Activity
Can you make a kite shape from a single A4 size sheet of paper using only three folds?

Polygons
Activity
Name the polygons and show the number of lines and order of rotational symmetry.

Angle Theorems
Activity
Diagrams of the angle theorems with interactive examples.

Circle Parts Kim's Game
Activity
A memory game to be projected to help the whole class revise the names for the parts of a circle.

Polygon Angles Animation
Activity
Barbara Bug walks around a regular hexagon turning through each of the exterior angles as she goes.

Pin Board
Activity
Rows and columns of dots that can be joined using straight lines to create shapes.

Circle Theorems
Activity
Diagrams of the circle theorems to be projected onto a white board as an effective visual aid.

Geometry Toolbox
Activity
Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.

Starters

Starter
Angle Estimates
Estimate the sizes of each of the angles then add your estimates together.

Starter
Area Two
How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?

Starter
Christmas Tables
Which of the two shapes has the largest area? You will be surprised!

Starter
Cross Perimeter
Calculate the distance around the given shape

Starter
Dice Reflections
A dice is reflected in two mirrors. What numbers can be seen?

Starter
Hexagon
On a full page in the back of your exercise book draw a perfectly regular hexagon.

Starter
Mathterpiece
Memorise a picture made up of geometrical shapes

Starter
Oblongs
Find the dimensions of a rectangle given the perimeter and area.

Starter
Pentagon
On a full page in the back of your exercise book draw a perfectly regular pentagon.

Starter
Polygon Riddle 1
Solve the riddle to find the name of the polygon then sum the interior angles.

Starter
Quad Areas
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.

Starter
Reflective Cat
On squared paper copy the drawing of the face then reflect it in three different lines.

Starter
Rotational Symmetry
Draw a pattern with rotational symmetry of order 6 but no line symmetry.

Starter
Sectors
Work out which sectors fit together to make complete circles. Knowledge of the sum of the angles at a point will help find more than one correct solution to this puzzle.

Starter
Square Angles
Find a trapezium, a triangle and a quadrilateral where all of the angles are square numbers.

Starter
Square Circle Kite
Write down the names of all the mathematical shapes you know.

Starter
Stair Perimeter
Use the information implied in the diagram to calculate the perimeter of this shape.

Starter
Step Perimeter
Is it possible to work out the perimeter of this shape if not all the side lengths are given?

60 items are currently in this category.

Teachers might find the complete Geometry Topic List useful.

Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early 6th Century BC.

See also the topics of Angles, Area, Bearings, Circles, Enlargements, Mensuration, Pythagoras, Shape, Shape (3D), Symmetry, Transformations and Trigonometry.


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