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516 Chapter 8 Transformations and congruence

Multiple-choice questions

1 The number of lines of symmetry in a regular pentagon is:

A 10 B 5 C 2 D 1 E 0

Chapter review

2 Which vector describes a translation of 5 units to the left and 3 units up?

3

−3

5

−5

A

B

C

D

[ −5]

[ 5]

[ −3]

[ 3]

E

−5

[ −3]

6

3 The point A(−3, 4) is translated to the point A′ by the vector . The coordinates of point A′ are:

[ −4]

A (3, 8) B (−9, 8) C (3, 0) D (0, 3) E ( −9, 0)

4 An anticlockwise rotation of 125° about a point is the same as a clockwise rotation about the same

point of:

A 235° B 65° C 55° D 135° E 245°

5 Point A(1, 3) is rotated clockwise about C by 90° to A′ .

The coordinates of A′ are:

A (3, 0) B (3, −1) C ( −3, 1)

D (−1, 3) E (3, 1)

y

A

C

O

x

Questions 6 , 7 , 8 and 9 relate to this pair of congruent triangles.

C F E

A

B

D

6 The angle on △DEF that corresponds to ∠A is:

A ∠C B ∠B C ∠F D ∠D E ∠E

7 If AC = 5 cm , then ED is equal to:

A 5 cm B 10 cm C 2. 5 cm D 15 cm E 1 cm

8 A congruent statement with ordered vertices for the triangles is:

A △ ABC ≡ △FED

B △ ABC ≡ △EDF

C △ ABC ≡ △DFE

D △ ABC ≡ △DEF

E △ ABC ≡ △EFD

9 Which of the four tests would be chosen to show that these two triangles are congruent?

A AAS B RHS C SAS D AAA E SSS

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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