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3 years ago

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

Mathematics

2 answers:

Lapatulllka [165]3 years ago

4 0

Answer:

The scale factor for the dilation is 3.

Step-by-step explanation:

We are given that,

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

<em>To find the scale factor, we will find the ratio of the lengths of the rectangle.</em>

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,

<em>Length of side A'B' is 3 times the length of side AB.</em>

This relation can be verified for other sides also.

Thus, the scale factor for the dilation is 3.

vaieri [72.5K]3 years ago

3 0

Answer:

The answer is 3 :)

Have a great day

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