The side lengths of triangle ABC are 10, 14, and 16. The side lengths of triangle A′B′C′ are 35, 49, and 56. Identify the scale factor of a single dilation between the preimage ABC and image A′B′C′ .(1 point)

Question

Responses

A) 3

B) 3.5

C) 5.6

D) 2/7

Answer 1

To find the scale factor of a dilation, we can divide the corresponding side lengths of the image triangle by the preimage triangle.

For triangle ABC and A'B'C', we have:

Scale factor = A'B' / AB = 35 / 10 = 3.5

Therefore, the scale factor of the single dilation between triangle ABC and A'B'C' is B) 3.5