Identify and describe the relationship between irregular polygons using scale factors | Maths

Starter quiz

There is lots of information given about this shape. Which bits of information tell you about its dimensions?

Length of sides 6 cm ✓

Area is 36 squared cm

Opposite sides are parallel

Angles are right angles
Which of these pairs of shapes are similar?

A ✓

B

A and B

Neither A or B
What is the scale factor between hexagons A and B?

2

3

4

5 ✓

8
What number is one and a half times the size of 6?

3

6

9 ✓

12
Which of these shapes is similar to triangle A with a scale factor of 4?
Which of these shapes is similar to square A with a scale factor of one half?

Which of these shapes are regular polygons?

rectangle

trapezium

equilateral triangle ✓

right angled triange

square ✓
Which of these shapes are irregular polygons

rectangle ✓

trapezuim ✓

equilateral triangles

right angled triangle ✓

square
Is a hexagon a regular shape?

Yes

No

Yes if all its sides are the same length ✓
A and B are similar rectangles. What is the missing dimension in rectangle B?

15 cm

40 cm

20 cm

30 cm ✓
This ratio table gives the dimensions of two rectangles. What is the scale factor between the rectangles?

2

3

4

5

6 ✓
What is the relationship between the height and width of both rectangles?

The ratio of height to width in both rectangles is 1 to 2 or 1 : 2 ✓

The height of each rectangle is double the width ✓

The width of each rectangle is half the height ✓

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Two similar shapes can be described as being 'x' times greater or smaller than each other.
If one similar shape is smaller than another, the scale factor is a fraction.
Shapes related by a scale factor are similar.

Not comparing the same or corresponding sides of related shapes.

Label the sides of shapes clearly and refer to them with consistent language of height and width.

Irregular polygon - An irregular polygon is a polygon where the sides and angles are not all equal