The smaller triangle is a pre-image of the bigger triangle. the center of dilation is (2, −2).

what is the scale factor used to create the dilation?

3

13

−13

−3

The correct option is fourth option, i.e., -3.

Explanation:

It is given that the smaller triangle is a preimage of the bigger triangle. The center of dilation is (2, −2).

From the given figure it is noticed that the vertices of preimage are A(2,-2), B(2,2), C(-2,-2) and the vertices of preimage are A'(2,-2), B'(2,-14) and C'(14,-2).

The length of AB is 4 and the length of A'B' is 12.

The sides of image and preimage are in proportion.

proportion =

Since the image is enlargement of preimage therefore k>1 and k<-1.

Since the image and preimage are lies in opposite sides of center of dilation, therefore the scale factor must be negative.

There correct option is option 4.

Simple answer, the correct option is fourth option, i.e., -3.

Step-by-step explanation:

Hope this helps!

Have a great day! :)

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step-by-step explanation: