26.05.2022 Views

year 8 maths

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

384 Chapter 6 Angle relationships and properties of geometrical figures 1

Example 9

3 Give the number of lines of symmetry and the order of rotational symmetry for each shape.

a b c

d e f

4 Name a type of triangle that has the following properties.

a three lines of symmetry and order of rotational symmetry 3

b one line of symmetry and no rotational symmetry

c no line or rotational symmetry

5 List the quadrilaterals that have these properties.

a number of lines of symmetry

i 1 ii 2 iii 3 iv 4

b order of rotational symmetry

i 1 ii 2 iii 3 iv 4

6 State the number of lines of symmetry and order of rotational symmetry for each of the following.

a b c d

7 Of the capital letters of the alphabet shown here, state which have:

a 1 line of symmetry A B C D E F G H I J K L M

b 2 lines of symmetry N O P Q R S T U V W X Y Z

c rotational symmetry of order 2

8 Complete the other half of these shapes for the given axis of symmetry.

a b c

PROBLEM-SOLVING AND REASONING

9, 11 9–11

10–12

9 Draw the following shapes, if possible.

a a quadrilateral with no lines of symmetry

b a hexagon with one line of symmetry

c a shape with seven lines of symmetry and rotational symmetry of order 7

d a diagram with no line of symmetry but rotational symmetry of order 3

e a diagram with one line of symmetry and no rotational symmetry

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.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!