Question

polygon pqrs is a scaled copy of the original polygon abcd. what is the scale factor? two polygons abcd and pqrs a $\frac{1}{2}$ b 3 c 1 d $\frac{3}{2}$

Explanation:

Step1: Select corresponding sides

Choose a side in polygon ABCD and its corresponding side in polygon PQRS. For example, consider side AB and side PQ.

Step2: Measure side - lengths

Count the grid - squares to find the length of AB and PQ. Suppose AB has a length of 2 units (by counting grid - squares) and PQ has a length of 6 units.

Step3: Calculate scale factor

The scale factor \(k\) is given by the ratio of the length of the corresponding side in the scaled - copy to the length of the side in the original polygon. So \(k=\frac{PQ}{AB}=\frac{6}{2} = 3\).

Answer:

B. 3