Question

1. name the angle in the scaled copy that corresponds to angle abc.
2. name the segment in the scaled copy that corresponds to segment ad.
3. what is the scale factor from polygon abcd to polygon pqrs?

Explanation:

Step1: Recall concept of scaled - copies

In scaled - copies, corresponding angles are equal. Angle ABC in polygon ABCD corresponds to angle PQR in polygon PQR S since they are in the same relative position in the two similar polygons.

Step2: Recall concept of corresponding segments

In scaled - copies, corresponding segments are in proportion. Segment AD in polygon ABCD corresponds to segment PS in polygon PQR S as they are in the same relative position in the two similar polygons.

Step3: Find scale factor

To find the scale factor from polygon ABCD to polygon PQR S, we need to know the lengths of a pair of corresponding sides. Let the length of a side in ABCD be \(l_1\) and the length of the corresponding side in PQR S be \(l_2\). The scale factor \(k=\frac{l_2}{l_1}\). Since no side - lengths are given in the problem, we cannot calculate a numerical value for the scale factor. But the concept is based on the ratio of corresponding side - lengths.

Answer:

1. Angle PQR
2. Segment PS
3. Cannot be determined without side - lengths (ratio of corresponding side - lengths)