Question

A dilation with a scale factor of 2 is applied to the three lines segments shown. They’re resulting images online segments called P Q’ , A’ B’, and M’ N’. What are the lengths of these new images that have been created?

Answer 1

P'Q' = 4cm, A'B' = 3.0cm and M'N' = 6cm

Explanations

What is dilation?

Dilation is the shrinking or enlargement of a figure or line using a scale factor. According to the question given, we are to dilate the given lines by a scale factor of 2.

Given the following length of the lines

PQ = 2cm

AB = 1.5cm

MN = 3cm

Dilating the lines by a scale factor of 2, means multiplying the original length by 2 as shown:

P'Q' = 2(2cm) = 4cm

A'B' = (1.5cm) = 3.0cm

M'N' = 2(3cm) = 6cm

Hence the lengths of these new images that have been created are P'Q' = 4cm, A'B' = 3.0cm and M'N' = 6cm