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Course: Geometry (SCPS pilot: textbook aligned) > Unit 4

Lesson 6: Triangle congruence: ASA, AAS, and HL
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Geometry (SCPS pilot: textbook aligned)
Triangle congruence
Triangle congruence: ASA, AAS, and HL
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Prove triangle congruence

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Problem

Prove that △MNQ≅△PNQ.
Triangle P N Q and triangle M N Q are shown sharing the line N Q for one of their sides. The Angle N in triangle P N Q and triangle M N Q is thirty degrees for both. The Angle Q in triangle M N Q and triangle N P Q is one hundred seven degrees for both.
StatementReason
1m∠MNQ=m∠PNQ=30°Given
2m∠MQN=m∠
=107°		Given
3
They're lengths of the same segment.
4△MNQ≅△PNQ
congruence