year 8 maths

Semester review 2 597
3 Triangle ABC is on a Cartesian plane, as shown.
List the coordinates of the image points A′, B′
and C′ after:
a a rotation 90° clockwise about (0, 0)
b a rotation 180° about (0, 0)
y
4
3
C
2
1
A B
−4 −3 −2 −1O
−1
−2
−3
1 2 3 4
−4
x
4 Write the congruency test that would be used to prove the following pairs of triangles
are congruent.
a b c
5 Which two triangles are congruent?
B
C
A
Extended-response question
A circle of radius 3 cm is enlarged so that the ratio of radii becomes 2 : 5 .
a What is the diameter of the enlarged image?
b What is the ratio of the circumference of the original circle to its image?
c What is the ratio of their areas?
d If the ratio of a circle’s area to its image becomes 9 : 100 , what is the radius of the image?
Chapter 9: Data collection, representation and analysis
The following information is relevant for questions 1 and 2 .
A survey asked 60 participants their favourite colour. The results are shown below.
blue pink green purple black
12 20 6 12 10
1 If a divided bar graph 10 cm long is constructed to display the data, the length required for
purple would be:
A 12 cm B 2 cm C 1 cm D 5 cm E 3 cm
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.