Question

is polygon h a scaled copy of polygon g? polygon g polygon h distance in polygon g corresponding distance in polygon h scale factor 12 6 12 * 1/2 = 6 the scale factor for the corresponding distances is

Explanation:

Step1: Recall scale - factor concept

The scale factor $k$ from Polygon G to Polygon H is found by the ratio of the corresponding side - lengths of Polygon H to Polygon G. Given a side - length $a$ in Polygon G and its corresponding side - length $b$ in Polygon H, $k=\frac{b}{a}$.

Step2: Calculate the scale factor

We have $a = 12$ (distance in Polygon G) and $b = 6$ (corresponding distance in Polygon H). So, $k=\frac{6}{12}=\frac{1}{2}$.

Step3: Check if all sides have the same scale factor

To be a scaled - copy, all corresponding distances must have the same scale factor. Since we are only given one pair of corresponding distances here, assume that if all other corresponding distances also have a scale factor of $\frac{1}{2}$, then Polygon H is a scaled copy of Polygon G.

Answer:

If all corresponding distances have a scale factor of $\frac{1}{2}$, then Polygon H is a scaled copy of Polygon G. Based on the given pair of distances, the scale factor is $\frac{1}{2}$.