Question

Polygon F has an area of 36 square units. Aimar drew a scaled version of Polygon F and labeled it Polygon G. Polygon G has an area of 4 square units. What scale factor did Aimar use to go from Polygon F to Polygon G?

A. 1/3
B. 2
C. 3
D. 9

Answer 1

The scale factor Aimar used to go from Polygon F to Polygon G is 1/3, since the ratio of the areas (4/36) is the square of the scale factor, and the square root of 1/9 is 1/3.

Step-by-step explanation:

To determine the scale factor that Aimar used to draw Polygon G from Polygon F, we need to understand the relationship between the areas of similar figures. When the scale factor is applied, the areas of similar polygons are proportional to the square of the scale factor.

Polygon F has an area of 36 square units, while Polygon G has an area of 4 square units. To find the scale factor, we must find the square root of the ratio of the areas:

1. Ratio of areas: Area of Polygon G / Area of Polygon F = 4 / 36 = 1 / 9
2. Scale factor: Square root of (1 / 9) = 1 / 3

Therefore, the scale factor Aimar used to draw Polygon G from Polygon F is 1/3, which corresponds to option A.