Question

Which polygons are congruent?

Select each correct answer.

Answer 1

The second and fourth figures.

Explanation:

In order for polygons to be congruent, all sides must be equal and all angles must be equal.

In the first figure, the side lengths are different for the two rectangles. This means they are not congruent.

In the second figure, the side lengths are congruent for the two trapezoids. Additionally, the angle measures are congruent for the two trapezoids. This means the figures are congruent.

In the third figure, the side lengths are congruent; however, the angle measures are different. This means the polygons are not congruent.

In the fourth figure, the side lengths are congruent for the two polygons. Additionally, the angle measures are congruent for the two polygons. This means the figures are congruent.

Answer 2

The answer would be B and D, The two shapes need to be the same size to be congruent.