215k views
2 votes
Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation.

What is the scale factor of the dilation?

Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale-example-1

2 Answers

2 votes

Answer:

3

Explanation:

took the k12 quiz

User Leandro Poblet
by
6.2k points
4 votes

Answer:

The scale factor for the dilation is 3.

Explanation:

We are given that,

Rectangle ABCD is dilated to form the rectangle A'B'C'D'.

To find the scale factor, we will find the ratio of the lengths of the rectangle.

We see that,

A= (1,5) and B= (4,5). So, the length of side AB = 4-1 = 3

A'= (3,15) and B'= (12,15). So, the length of side A'B' = 12-3 = 9

So, the ratio of the sides AB : A'B' = 3 : 9 = 1 : 3.

Hence, we get that,

Length of side A'B' is 3 times the length of side AB.

This relation can be verified for other sides also.

Thus, the scale factor for the dilation is 3.

User GuillaumeRZ
by
7.1k points