Question

problem 6 determine whether the pair of figures represents an original figure and its scaled copy. yes no

Explanation:

Step1: Check side - length ratios

Let's assume the grid squares have side - length 1. For the pink rectangle C, if its length is \(l_1\) and width is \(w_1\), and for the purple rectangle H, if its length is \(l_2\) and width is \(w_2\). Count the grid squares for the sides. Suppose rectangle C has length \(l_1 = 6\) and width \(w_1=3\), and rectangle H has length \(l_2 = 3\) and width \(w_2 = 2\). The ratio of the lengths is \(\frac{l_1}{l_2}=\frac{6}{3}=2\), and the ratio of the widths is \(\frac{w_1}{w_2}=\frac{3}{2} = 1.5\). Since \(\frac{l_1}{l_2}
eq\frac{w_1}{w_2}\), the figures are not scaled copies.

Answer:

No