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High school geometry

Course: High school geometry > Unit 3

Lesson 3: Congruent triangles
Math
High school geometry
Congruence
Congruent triangles
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Prove triangle congruence

CCSS.Math: HSG.SRT.B.5
Google Classroom

Problem

Prove that triangle, M, N, Q, \cong, triangle, P, N, Q.
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, angle, M, N, Q, equals, m, angle, P, N, Q, equals, 30, degreeGiven
2m, angle, M, Q, N, equals, m, angle
equals, 107, degree		Given
3
They're lengths of the same segment.
4triangle, M, N, Q, \cong, triangle, P, N, Q
congruence
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