Question

The rectangle shown in dilated by a scale factor of 1/2.

(A) calculate the length of each side of the dilated image.
(B) draw the new image and level it A’B’C’D’.

Answer 1

Part A) The length of each side of the dilated image are

A'B'=7.5 cm

B'D'==4 cm

Part B) The draw in the attached figure

Explanation:

Part A)

we know that

If the scale factor is less than 1, then the dilation is a reduction

In this problem

The scale factor is equal to 1/2

so

The dilation is a reduction

To calculate the dimensions of the dilated image, multiply the original dimensions by the scale factor

so

A'B'=AB(1/2)=15(1/2)=7.5 cm

B'D'=BD(1/2)=8(1/2)=4 cm

Part B)

using a graphing tool

The draw in the attached figure