Problem preview

G-CO.8 Warmup M1-043-A07-V04

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 \(BD\), shared by triangles \(ABD\) and \(CBD\). State the congruence relationship and explain why it applies.

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Side BD is congruent to side BD by the reflexive property because it is the shared side in both triangles.

Side AB is congruent to side AB by the reflexive property because it is a side of triangle ABD.

Side BD is congruent to side AB by the reflexive property because both sides are in the figure.

Side CB is congruent to side CB by the reflexive property because it is a side of triangle CBD.

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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