Question

owens teacher asked him to dilate polygon a to create polygon c. what scale factor did he use to dilate a to c? 1/4 1/3 5 3

Explanation:

Step1: Identify corresponding side lengths

Let's assume a side length of polygon A. For example, if we consider a horizontal side of polygon A that is 2 units long. The corresponding horizontal side of polygon C is 6 units long.

Step2: Calculate the scale factor

The formula for scale factor \(k=\frac{\text{length of side in image (polygon C)}}{\text{length of side in pre - image (polygon A)}}\). Using the values from Step1: \(k = \frac{6}{2}=3\).

Another way: If we consider a vertical side. Suppose a vertical side of polygon A is 1 unit. The corresponding vertical side of polygon C is 3 units. Then \(k=\frac{3}{1}=3\)

Answer:

3