Worksheet

1

Describe what it means to enlarge or reduce a shape.

2

Explain why we do not use a unit when writing the value of a scale factor.

3

If we shrink an object to be 20\% of its original size, what reduction factor have we used?

4

What enlargement factor is the same as multiplying the lengths of a shape by 400\%?

5

If a scale factor of \dfrac{2}{3} is applied to a shape, will the new shape be larger or smaller than the original?

6

Consider the following quadrilaterals:

a

Is quadrilateral A'B'C'D' an enlargement of quadrilateral ABCD?

b

Find the scale factor.

7

Consider the following quadrilaterals:

Is quadrilateral A'B'C'D' an enlargement of quadrilateral ABCD? Explain your answer.

8

The scale factor of these similar triangles is 4:5. Find:

a

The reduction factor

b

The enlargement factor

9

The scale factor of these similar figures is 52:32. Find:

a

The reduction factor.

b

The enlargement factor.

10

The rectangle on the right is an enlargement of the rectangle on the left:

a

What is the enlargement factor?

b

Write the scale of the blue rectangle to the green rectangle.

11

The triangle on the right is a reduction of the triangle on the left.

a

What is the reduction factor?

b

Write the scale of the yellow triangle to the purple triangle.

12

Glass in the shape of a circle has a radius of 12 \text{ cm}. When it is enlarged, the radius becomes 48 \text{ cm}. What is the enlargement factor?

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performs calculations in relation to two-dimensional and three-dimensional figures