Subjects geometry

Polygon Congruence 01726C

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1. **State the problem:** Identify which pairs of polygons are congruent based on given side lengths and angles. 2. **Recall congruence rules:** Polygons are congruent if all corresponding sides and angles are equal. 3. **Analyze kite-shaped polygons T and W:** - Both have sides 3, 6.5, and 7. - Since all corresponding sides match, polygons T and W are congruent. 4. **Analyze triangles ABC and FGH:** - ABC angles: 83°, 48°, 49° - FGH angles: 83°, 45°, 52° - Angles differ, so triangles ABC and FGH are not congruent. 5. **Analyze right triangles with sides 4 & 7 and 5 & 8:** - Sides differ, so these triangles are not congruent. 6. **Analyze right triangles DEF and QPR:** - Both have two pairs of congruent sides marked. - By the Side-Side-Side (SSS) or Side-Angle-Side (SAS) congruence postulate, these triangles are congruent. **Final answer:** - Congruent polygons are T and W. - Congruent triangles are DEF and QPR.