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year 8 maths

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514 Chapter 8 Transformations and congruence

1 How many similar triangles are there in this figure? Give reasons.

Puzzles and challenges

2 Can you fit the shapes in the two smaller squares into the largest

square? What does this diagram illustrate?

Try drawing or constructing the design and then use scissors to

cut out each shape.

3 A strip of paper is folded five times in one direction only. How many creases will there be in the

original strip when it is unfolded?

4 Use congruent triangles to find the radius, r , in these diagrams.

a

b 4

5

r

3 r r

r

r

4

r

4

5 What is the side length of the largest square that can be cut out of this triangle?

Use similar triangles.

12

13

5

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

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