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8D

Congruent figures

483

3 In this diagram △ ABC has been rotated to give the image

triangle △DEF .

a Is △DEF congruent to △ ABC ; i.e. is △DEF ≡ △ ABC ?

b Name the vertex on △DEF that corresponds to:

i A ii B iii C

c Name the side on △DEF that corresponds to:

i AB ii BC iii AC

d Name the angle in △DEF that corresponds to:

i ∠B ii ∠C iii ∠ A

A

B

C

D

E

F

Example 7

4 These two quadrilaterals are congruent. Name the object

in quadrilateral EFGH that corresponds to these objects in

quadrilateral ABCD .

a i A ii D

b i AD

ii CD

c i ∠C ii ∠ A

A

B

D

C

G

H

E

F

5 These two pentagons are congruent. Name the object

in pentagon FGHIJ that corresponds to these objects in

pentagon ABCDE .

a i A ii D

b i AE

ii CD

c i ∠C ii ∠E

6 From all the shapes shown here, find three pairs that are congruent.

A

B

E H I

D

C

G

F

J

A

B

C

D

E

F

G

H

I

J

K

L

M

N

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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