1-4. Quiz
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SAS Congruence Theorem means that two sides and the included angle of two triangles are congruent.
There is enough information.
Proof: See solution.
According to the SAS Congruence Theorem, if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Since two sides and the included angle of △ LMP are congruent with two sides and the included angle of △ NMP, we can prove congruence by the SAS Congruence Theorem.
Let's show this as a two-column proof.
Statement
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Reason
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1. LM ≅ NM, ∠ LMP ≅ ∠ NMP
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1. Given
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2. MP≅ MP
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2. Reflexive Property of Congruence
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3. △ LMP ≅ △ NMP
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3. SAS Congruence Theorem
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