Final answer:
The scale factor that turns Polygon A to Polygon C is 0.5 and the scale factor that turns Polygon C to Polygon A is 2. The correct answer is D. 0.5, 2.
Step-by-step explanation:
The concept of scale factor is crucial in understanding how to resize shapes and figures while maintaining their proportions. Discovering the scale factor between two similar geometric figures involves comparing their corresponding linear measurements.
For example, if a polygon A is transformed into polygon C using a scale factor, to find this scale factor, you would divide a measurement of polygon C by the corresponding measurement of polygon A.
When computing the scale factor from Polygon A to Polygon C, suppose you have the length of a side of Polygon A and the length of the corresponding side of Polygon C.
You would divide the length from Polygon C by the length from Polygon A. Conversely, to find the scale factor from Polygon C to Polygon A, you would do the opposite—divide the length from Polygon A by the length from Polygon C.
The scale factor that turns Polygon A to Polygon C is 0.5, and the scale factor that turns Polygon C to Polygon A is 2.