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6F

Line symmetry and rotational symmetry

383

Example 9

Finding the symmetry of shapes

Give the number of lines of symmetry and the order of rotational symmetry for each of these shapes.

a rectangle b regular pentagon

SOLUTION

a

2 lines of symmetry

EXPLANATION

rotational symmetry:

order 2

b 5 lines of symmetry

rotational symmetry:

order 5

Exercise 6F

UNDERSTANDING AND FLUENCY

1–8 2–8

4–8

1 How many ways could you fold each of these shapes in half so that the two halves match exactly?

(To help you solve this problem, try cutting out the shapes and folding them.)

a square

b rectangle

c equilateral triangle

d isosceles triangle

e rhombus

f parallelogram

2 For the shapes listed in Question 1 , imagine rotating them 360° about their centre. How

many times do you make an exact copy of the shape in its original position?

1

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.

2

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