Question

PLEASE HELP

Pre-image ABCD is dilated to be ​ image ​ A′B′C′D′ . The origin is the center of dilation.

What scale factor is used to create the dilation?

Answer 1

image ​ A′B′C′D′ is 5 times bigger than pre-image ABCD

scale factor = 5

Answer 2

Answer: The scale factor is 5 used to create the dilation.

Step-by-step explanation: We are given original image ABCD.

The coordinates of the image ABCD are

A (1, 2)

B ( 2, 2)

C ( 2, 1)

D ( 1, 1).

And coordinates of dilated image A'B'C'D' are :

A' (5, 10)

B' ( 10, 10)

C' ( 10, 5)

D' ( 5, 5).

We can see that (x,y) --> (5x, 5y) rule is being applied there.

Therefore, each x and y-coordinate is being multiplied by 5.

Therefore, the scale factor 5 is used to create the dilation.