Subjects geometry

Congruent Shapes E03B6F

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1. The problem asks to identify which two shapes among A, B, C, D, E, F, and G are congruent. 2. Congruent shapes have the same size and shape, meaning their corresponding sides and angles are equal. 3. By analyzing the descriptions: - Shape A and Shape E are similar in shape but E is smaller and reflected, so not congruent. - Shape B and Shape F are similar trapezoids, with F being a rotated and reflected version of B. - Shape C and Shape G are similar trapezoids, with G being a rotated version of C. - Shapes D is distinct and smaller. 4. Rotation and reflection do not change congruency, so shapes that are rotations/reflections of each other with the same size are congruent. 5. Therefore, the congruent pairs are: - Shape B and Shape F - Shape C and Shape G 6. Since the question asks for which two shapes are congruent, the answer is Shape B and Shape F (or Shape C and Shape G).