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G-CO.8 Warmup M1-043-A07-V03

Explain ASA, SAS, and SSS triangle congruence criteria from rigid-motion congruence.

Use the reflexive property for a shared triangle part

Problem

Apply the reflexive property to side \(MN\), shared by triangles \(LMN\) and \(PMN\). State the congruence relationship and explain why it applies.

Source diagram: Triangles LMN and PMN share side MN; the common side is visible without a congruence conclusion. Open full size
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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.8
Category
Geometry
Domain
Congruence
Objective
Explain ASA, SAS, and SSS triangle congruence criteria from rigid-motion congruence.
Problem type
Use the reflexive property for a shared triangle part