year 8 maths

508 Chapter 8 Transformations and congruence
Exercise 8H
UNDERSTANDING AND FLUENCY
1–7 5–8
6–9
1 By drawing a single line, show how the following quadrilaterals can be made into two congruent triangles.
a
b
c
d
2 Which property of a parallelogram is illustrated in each diagram below?
a
b
c
d
3 Write down four properties of:
a a rhombus b a square
4 Name the side (e.g. AB ) that is common to both triangles in each diagram.
a D C b D
c A B
A
C
A
B
D
C
B
5 Given ABCD is a square, complete the following proof to show that the diagonals of a square
are equal.
In △ ABC and △BCD:
A
B
∠ABC = _______ (angles in a _____ are equal)
AB = BC (_________________)
_____ is common.
∴ △ ABC ≡ △BCD (S ___ ___)
∴ AC = _______ (matching sides in _______ triangles are equal)
and the ___________ of a square are equal in length.
D
C
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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