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Chapter review

517

10 ABCD is a parallelogram. Based on the information supplied in

the diagram, which test could be used most easily to prove that

△ ABC ≡ △CDA .

A

B

A AAS B RHS C SAS

D AAA

E SSS

D

C

Short-answer questions

1 Copy these shapes and draw the reflected image over the mirror line.

a b c

d e f

2 The triangle A(1, 2), B(3, 4), C(0, 2) is reflected in the given axis. State the coordinates of the image

points A′ , B′ and C′ .

a x -axis

b y -axis

3 How many lines of symmetry do these shapes have?

a square b isosceles triangle

c rectangle d kite

e regular hexagon f parallelogram

4 Write the vectors that translate each point A to its image A′ .

a A(2, 5) to A′(3, 9) b A(−1, 4) to A′(2, −2)

c A(0, 7) to A′(−3, 0) d A(−4, −6) to A′(0, 0)

5 Copy these shapes and draw the translated image using the given translation vector.

3

−2

0

a

b

c

[ −1]

[ 2]

[ −3]

y

y

y

2

1

–2

O

–1

1 2

–2

x

2

1

–2 –1

O

–1

2

–2

x

2

1

–2 –1

O

–1

1 2

–2

x

Cambridge Maths NSW

Stage 4 Year 8 Second edition

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

Cambridge University Press

Photocopying is restricted under law and this material must not be transferred to another party.

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