Cambridge International Mathematics

8 Assumed Knowledge (Geometry and graphs)

4 Draw a quadrilateral which has:

a no lines of symmetry bctwo lines of symmetry

d four lines of symmetry.

5 What is the order of rotational symmetry for each of these figures?

abc

de f

6 Find the order of rotational symmetry of theBauhinia

blakeanaflower on the flag of Hong Kong.

7 Which of the following letters show rotational symmetry of order greater than 1?

Here are three such triangles:

The information given is insufficient to draw a triangle of one particular shape.

However, if we are asked to accurately draw triangle ABC in which

AB=3cm, BC=2cm and AC=4cm, one and only one

triangular shape can be drawn.

The easiest way to draw this triangle is to use a ruler and compass

construction.

Everyone using this construction would drawthe samefigure.

E CONSTRUCTING TRIANGLES

4cm

2cm

AB3cm

C

2cm

AB3cm

C

2cm

AB3cm

C

2cm

AB3cm

C

one line of symmetry

If several people were asked to accurately draw triangle ABC in which AB cm and BC cm, many

different shaped triangles would probably be drawn.

=3 =2

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