year 8 maths

8D
Congruent figures
485
10 An isosceles triangle is cut as shown, using the midpoint of AB .
a Name the two triangles formed.
b Will the two triangles be congruent? Explain.
C
A
M
B
11 A kite ABCD has diagonals AC and BD .
a The kite is cut using the diagonal BD .
i Name the two triangles formed.
ii Will the two triangles be congruent? Explain.
b The kite is cut using the diagonal AC .
i Name the two triangles formed.
ii Will the two triangles be congruent? Explain.
12 If a parallelogram is cut by either diagonal will the two triangles be congruent?
A
B
D
C
13 What is the condition for two circles to be congruent?
ENRICHMENT
– –
14
Combined congruent transformations
14 Describe the combination of transformations (reflections, translations and/or rotations) that map
each shape to its image under the given conditions. The reflections that are allowed include only
those in the x - and y -axes and rotations will use (0, 0) as its centre.
a A to A′ with a reflection and then a translation
b A to A′ with a rotation and then a translation
c B to B′ with a rotation and then a translation
d B to B′ with two reflections and then a translation
e C to C′ with two reflections and then a translation
f C to C′ with a rotation and then a translation
y
5
A
4
3
2
1
−5 −4 −3 −2 −1
O
−1
−2
−3
B C′
−4
−5
B′ C
A′
1 2 3 4 5
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.