Which pairs of figures below are congruent?

Two geometric figures are congruent if they have the same shape and size. This means that all corresponding sides and angles are equal. We will examine each pair of figures to determine if they are congruent.

1. Top Left Pair: The top figure is a trapezoid with parallel sides of length 3 units and 1 unit, and a height of 2 units. The bottom figure is also a trapezoid. Its parallel sides have lengths of 3 units and 1 unit, and its height is 2 units. Since all corresponding sides and heights are equal, these trapezoids are congruent.

1. Top Right Pair: The top figure is an oval (a stadium shape) formed by two semicircles connected by two parallel lines. The bottom figure is a circle. Since the shapes are different (an oval and a circle), they cannot be congruent.

1. Bottom Left Pair: The left figure is a right triangle with legs of length 2 units and 2 units. The right figure is a right triangle with legs of length 4 units and 4 units. Since the lengths of the corresponding sides are different (2 vs. 4), these triangles are not congruent.

1. Bottom Right Pair: The top figure is a square with side length 2 units. The bottom figure is a square with side length 2 units. Since both figures are squares with the same side length, they are congruent.