From the given set A, E, D, B, F, C, G, the pairs of congruent shapes are D and G.
Reasoning:
1. Side Lengths: Both shapes D and G are rectangles, and they share equal side lengths. In a rectangle, opposite sides are congruent.
2. Angle Measures: The angles formed by the intersection of the sides in both shapes are right angles (90 degrees), and corresponding angles are equal.
3. Diagonals: The diagonals of both rectangles are equal in length, as diagonals of a rectangle bisect each other and are congruent.
Hence, based on the equality of side lengths, angle measures, and diagonals, we can confidently claim that shapes D and G are congruent. The congruence of these rectangles is established through the fundamental properties of rectangles.
The complete question is probably:
Identify the pairs of congruent shapes from the given set A, E, D, B, F, C, G. State which two shapes exhibit congruence and provide reasoning for your selection.