Question

is polygon h a scaled copy of polygon g? polygon g (with side lengths 4, 4, 3, 3) and polygon h (with side lengths 16, 16, 12, 12) are shown. options: yes, no.

Explanation:

Step1: Check the ratios of corresponding sides

For a scaled copy, the ratio of corresponding sides should be equal. Let's find the ratios of the sides of Polygon H to Polygon G.

• For the sides of length 4 (in G) and 16 (in H): The ratio is $\frac{16}{4} = 4$.
• For the sides of length 3 (in G) and 12 (in H): The ratio is $\frac{12}{3} = 4$.

Step2: Determine if it's a scaled copy

Since the ratio of all corresponding sides is the same (4), Polygon H is a scaled copy of Polygon G.

Answer:

Yes