Question

is polygon h a scaled copy of polygon g? are the side lengths scaled by the same scale factor? polygon g has side lengths 4, 3, 4, 3 and angles 50°, 120°, 70°, 120°; polygon h has side lengths 20, 15, 20, 15 and angles 50°, 120°, 70°, 120°. options: yes, no

Explanation:

Step1: Check scale factor for sides of length 4 and 20

To find the scale factor, divide the length of the side in Polygon H by the corresponding side in Polygon G. For the sides of length 4 (in G) and 20 (in H), the scale factor is $\frac{20}{4} = 5$.

Step2: Check scale factor for sides of length 3 and 15

For the sides of length 3 (in G) and 15 (in H), the scale factor is $\frac{15}{3} = 5$.

Step3: Check angles

The angles in Polygon G and Polygon H are the same (e.g., 120°, 50°, 70°), so the angle measures are preserved. Since the corresponding side lengths have the same scale factor (5) and the angles are equal, Polygon H is a scaled copy of Polygon G.

Answer:

Yes