Tell whether the pair of polygons is similar or not. Explain why or why not.

Question

First Polygon: 14ft on one side, 9ft on the other side, 9ft on another side, an 14 feet on another side.
Second Polygon: 2.3 ft on one side, 5.1ft on another side, 2.3 feet on another side, and 5.1 on the last side

Answer 1

The pair of polygons is similar because all corresponding sides are proportional. The ratio of corresponding sides is as follows:

14ft / 2.3ft ≈ 6.09
9ft / 5.1ft ≈ 1.76
9ft / 2.3ft ≈ 3.91
14ft / 5.1ft ≈ 2.75

Since the ratios are all equal or very close, the polygons are similar.