∆abc is transformed with the center of dilation at the origin. pre-image: ∆abc with vertices a(−5, −4), b(−7, 3), c(3, −2) image: ∆a'b'c' with vertices a' (−3.75, −3), b' (−5.25, 2.25), c' (2.25, −1.5) what is the scale factor of the dilation that maps the pre-image to the image?

3/4

Step-by-step explanation:

We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices A(−5, −4), B(−7, 3) and C(3, −2) to the image triangle A'B'C' with vertices A' (−3.75, −3), B' (−5.25, 2.25) and C' (2.25, −1.5).

Center of dilation is at the origin.

To find the scale factor, we will divide the corresponding vertices of the image and pre-image.

A(−5, −4) ---> A' (−3.75, −3) =

B(−7, 3) ---> B' (−5.25, 2.25) =

C(3, −2) ---> C' (2.25, −1.5) =

Therefore, the scale factor of the dilation is 3/4.

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2