year 8 maths

492 Chapter 8 Transformations and congruence
ENRICHMENT
– –
11
Proof challenge
11 Write a logical set of reasons (proof) as to why the following are true. Refer to Question 10 for an
example of how to set out a simple proof.
a The segment joining the apex of an isosceles triangle to the midpoint M of the base BC is at
right angles to the base; that is, prove ∠AMB =∠AMC = 90° .
A (apex)
B
M
C
b The segment AC = 2AB in this diagram.
D
A
B
C
E
c
A kite has one pair of equal opposite angles.
D
A
C
B
d The diagonals of a rhombus intersect at right angles.
D
C
E
A
B
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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