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G-CO.8 Warmup M1-043-A08-V02

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

Use a congruence criterion before using corresponding parts

Problem

Use \(PQ=XY\), \(QR=YZ\), \(PR=XZ\), and \(\angle~X=38°\) to prove the triangles congruent. Name the criterion, then use CPCTC to find \(\angle~P\).

Two marked triangles show the SSS givens; the known corresponding angle X is labeled 38 degrees and angle P is unlabeled. 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 a congruence criterion before using corresponding parts