Chapter Test
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Notice that the triangles share an angle.
See solution.
From the given information, we know that ∠ P ≅ ∠ T. Also, since the triangles share R as a vertex, we know this angle is congruent by the Reflexive Property of Congruence. Let's separate the triangles and add the given information.
Since the triangles have two angles and a non-included side that are congruent, we can claim that △ SRP ≅ △ QRT by the AAS Congruence Theorem.
Statement
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Reason
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1. QR ≅ RS, ∠ P ≅ ∠ T
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1. Given
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2. ∠ QRT ≅ ∠ SRP
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2. Reflexive Property of Congruence
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3. △ SRP ≅ △ QRT
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3. AAS Congruence Theorem
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