Question

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

Answer 1

Answer: 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 = $\frac{12}{4} =3$

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.

$k=-3$

There correct option is option 4.

Answer 2

Its -3 i just took the quiz