year 8 maths

488 Chapter 8 Transformations and congruence
Example 8
Choosing a test for congruence
Which of the tests (SSS, SAS, AAS or RHS) would you choose to test the congruence of these pairs of
triangles?
a
70°
b
12 m
12 m
60°
5 cm
70°
60°
5 cm
15 m 15 m
SOLUTION
EXPLANATION
a AAS There are two equal angles and one pair of equal corresponding sides. The side
that is 5 cm is adjacent to the 60° angle on both triangles.
b RHS
There is a pair of right angles with equal hypotenuse lengths. A second pair of
corresponding sides are also of equal length.
Excercise 8E
UNDERSTANDING AND FLUENCY
1–3, 4 2–4
3–4(½), 5
1 Pick the congruence test (SSS, SAS, AAS or RHS) that matches each pair of congruent triangles.
a
b
c
d
2 Write a congruence statement (e.g. △ ABC ≡ △DEF ) for these pairs of congruent triangles. Try to
match vertices.
a
A
E
b
A
F
B
C
F
D
B
E
C
D
c
Y
U
d
A
X
Z
S
T
Cambridge Maths NSW
Stage 4 Year 8 Second edition
B
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.
C
D