Question

triangle stv was dilated with the origin as the center of dilation to form △ stv. what is the scale factor of the dilation? 1/3 2/3 3/2 3/1

Explanation:

Step1: Select a corresponding side

Let's take the vertical side of the triangles. Assume the length of the side of the original triangle $\triangle STV$ is $3$ units and the length of the corresponding side of the new triangle is $2$ units.

Step2: Calculate scale - factor

Scale factor $k=\frac{\text{length of side of new triangle}}{\text{length of side of original triangle}}=\frac{2}{3}$

Answer:

$\frac{2}{3}$