year 8 maths

482 Chapter 8 Transformations and congruence
Example 7
Naming corresponding pairs
These two quadrilaterals are congruent. Name the objects in quadrilateral EFGH that correspond to
these objects in quadrilateral ABCD .
a vertex C b side AB c ∠C
A
B
H
G
F
D
C
E
SOLUTION
EXPLANATION
a vertex G C sits opposite A and ∠ A is the smallest angle. G sits opposite E and ∠E
is also the smallest angle.
b side EH
Sides AB and EH are both the longest sides of their respective shapes.
A corresponds to E and B corresponds to H .
c ∠G ∠C and ∠G are both the largest angle in their corresponding quadrilateral.
Exercise 8D
UNDERSTANDING AND FLUENCY
1–5 3, 4, 6
5, 6
1 In this diagram △ ABC has been reflected to give the image triangle △DEF .
a Is △DEF congruent to △ ABC ; i.e. is △DEF ≡ △ ABC ?
C F
b Name the vertex on △DEF that corresponds to:
i A ii B iii C
c Name the side on △DEF that corresponds to:
A B E D
i AB ii BC iii AC
d Name the angle in △DEF that corresponds to:
i ∠B ii ∠C iii ∠A
2 In this diagram △ ABC has been translated to give the image triangle △DEF .
a Is △DEF congruent to △ ABC ; i.e. is △DEF ≡ △ ABC ?
C
b Name the vertex on △DEF that corresponds to:
i A ii B iii C
c Name the side on △DEF that corresponds to:
A
i AB ii BC iii AC
d Name the angle in △DEF that corresponds to:
i ∠B ii ∠C iii ∠ A
B
D
F
E
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.