Question

problem 3
is pqrst a scaled copy of abcde?
select the correct choice.

Explanation:

Step1: Check side - length ratios

Let's assume the grid squares have side - length 1. For polygon \(ABCDE\) and \(PQRST\), measure the corresponding side - lengths. For example, if we consider the base \(CD\) and \(RS\). Suppose \(CD = 3\) (counting grid squares) and \(RS=6\). The ratio of \(RS\) to \(CD\) is \(\frac{RS}{CD}=\frac{6}{3} = 2\).

Step2: Check all corresponding sides

Check all other corresponding sides. If we consider the vertical sides (e.g., \(BC\) and \(QR\)), assume \(BC = 2\) and \(QR = 4\), the ratio \(\frac{QR}{BC}=\frac{4}{2}=2\). Since the ratios of all corresponding side - lengths are equal, the polygons are similar.

Answer:

A. Yes