Question

Polygon D has been dilated to create polygon D′.

Polygon D with top and bottom sides labeled 8 and left and right sides labeled 9.5. Polygon D prime with top and bottom sides labeled 12.8 and left and right sides labeled 15.2.

Determine the scale factor used to create the image.

Scale factor of 0.5
Scale factor of 0.6
Scale factor of 1.2
Scale factor of 1.6

Answer 1

To determine the scale factor used to create the image, we can divide the corresponding side lengths of the original and dilated polygons.

The scale factor used is equal to the length of the corresponding side of the dilated polygon divided by the length of the corresponding side of the original polygon.

For example, the scale factor for the top and bottom sides is:

12.8 / 8 = 1.6

The scale factor for the left and right sides is:

15.2 / 9.5 = 1.6

Since the scale factor is the same for each side, the scale factor used to create the image is 1.6.