Question

The smaller triangle is a dilation of the larger triangle with a center of dilation at (2, -1). What is the scale factor of the dilation?

a) 5
b) 4
c) 3
d) 2

Answer 1

The scale factor of the dilation is 2.

Step-by-step explanation:

The scale factor of a dilation is the ratio of the corresponding side lengths of the smaller and larger figures. In this case, we can find the scale factor by comparing the corresponding side lengths of the smaller and larger triangles. Let's say the smaller triangle has a side length of 2 units and the larger triangle has a corresponding side length of 4 units. Since the scale factor is the ratio of the smaller to larger side lengths, the scale factor is 2:4, which simplifies to 1:2. Therefore, the answer is d) 2.