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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.
- Scale Factors Video The scale factor, area factor and volume factor of similar shapes are quite different.
- Similar Shapes Questions about the scale factors of lengths, areas and volumes of similar shapes.
- Congruent Triangles Video Learn the conditions for two triangles to be congruent and then use this information to solve problems.
- Construct a congruent triangle Construction (with compass and straight edge) of a triangle congruent to a given triangle.

Here are some exam-style questions on this statement:

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*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 - "
*The circumference of the red circle is 80% of the circumference of the blue circle.*" ... 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.

Here are some Advanced Starters on this statement:

**Square in Rectangle**

Find the area of a square drawn under the diagonal of a rectangle more**Three Right Triangles**

Calculate the lengths of the unlabelled sides of these right-angled triangles. more

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

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