Question

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.

Answer 1

Answer: 0.5

Step-by-step explanation:

Given: Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.

Since dilation always produces  similar images.

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.

AB=|-5-(-8)|=|-5+8|=3 units

A'B'=|-2.5-(-4)=|-2.5+4|=1.5 units

The ratio of the corresponding sides A'B' to AB is given by :-

$\frac{1.5}{3}=\frac{1}{2}=0.5$

hence, the scale factor of the dilation = 0.5