1. The problem asks to determine if pentagon CDEFG is similar to pentagon PQRST by comparing their side lengths and ratios. 2. Similar polygons have corresponding angles equal and corresponding sides proportional. The scale factor is the ratio of any pair of corresponding sides. 3. Write the proportion comparing sides starting with vertex C and working clockwise: $$\frac{CDEFG}{PQRST} = \frac{CD}{PQ}$$ 4. Calculate each ratio of corresponding sides: - Ratio 1: $$\frac{CD}{PQ} = \frac{3.9}{4} = 0.975$$ - Ratio 2: $$\frac{DE}{QR} = \frac{1.5}{4.8} = \frac{\cancel{1.5}}{\cancel{4.8}} = 0.3125$$ - Ratio 3: $$\frac{EF}{RS} = \frac{2.4}{10.4} = 0.2308$$ - Ratio 4: $$\frac{FG}{ST} = \frac{6.0}{6.4} = 0.9375$$ - Ratio 5: $$\frac{GC}{TP} = \frac{1.8}{2.4} = 0.75$$ 5. Since the ratios are not all equal, the sides are not proportional. 6. Therefore, pentagon CDEFG is not similar to pentagon PQRST. Final answer: Pentagons CDEFG and PQRST are not similar because their corresponding side lengths are not proportional.