Question

in the dilation shown, the larger figure represents the original image and the smaller figure represents the resulting image. what is the scale factor for this dilation? a. 1/3 b. 1/2 c. 2 d. - 3

Explanation:

Step1: Select corresponding side lengths

Pick a side - length of the original and dilated figure. Let's consider the base of the triangles. The base of the smaller (original) triangle is 1 unit (counting grid squares), and the base of the larger (dilated) triangle is 2 units.

Step2: Calculate scale factor

The scale factor $k$ of a dilation is given by the ratio of a side - length of the dilated figure to the corresponding side - length of the original figure. So, $k=\frac{\text{side length of dilated figure}}{\text{side length of original figure}}=\frac{2}{1} = 2$.

Answer:

B. 2