Sign In | Starter Of The Day | Tablesmaster | Fun Maths | Maths Map | Topics | More

These are the Transum resources related to the statement: "Pupils should be taught to apply the concepts of congruence and similarity, including the relationships between lengths, {areas and volumes} in similar figures".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Congruent Triangles Test your understanding of the criteria for congruence of triangles with this self-marking quiz.
- Construct a congruent triangle Construction (with compass and straight edge) of a triangle congruent to a given triangle.
- Similar Shapes Questions about the scale factors of lengths, areas and volumes of similar shapes.

Here are some exam-style questions on this statement:

- "
*A triangle, ABC, is drawn (not to scale) with AC = 12.6 cm.*" ... more - "
*(a) Victor estimates the height of a flag pole by holding a ruler vertically so the height of the flag pole is exactly covered by the ruler when he is standing 240 centimetres from the flag pole.*" ... more - "
*Prove that triangle ABC is congruent to triangle CDA if ABCD is a parallelogram.*" ... more - "
*ABCD is a parallelogram with diagonals meeting at E. Prove that triangle ABE is congruent to triangle CDE.*" ... more - "
*(a) Find the area of a regular octagon if the distance from its centre to any vertex is 10cm.*" ... more - "
*The three boxes pictured below are mathematically similar.*" ... more - "
*ABC is an isosceles triangle in which AB = AC.*" ... more - "
*Two similar pentagonal based pyramids have surface areas 200 cm*" ... more^{2}and 50 cm^{2}respectively.

Click on a topic below for suggested lesson starters, resources and activities from Transum.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.