Triangle Congruence by SSS and SAS

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Proving Triangles Congruent

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Proving Triangles Congruent

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Presentation transcript:

Triangle Congruence by SSS and SAS Geometry 2.0 – Students write geometric proofs. Geometry 5.0 – Students prove that triangles are congruent.

Example 1 Given: M is the midpoint of XY, AX = AY Prove: AMX = AMY Statements Reasons 1. AX = AY 1. Given 2. XM = MY 2. Given 3. AM = AM 3. Reflexive Property 4. AMX = AMY 4. Side- Side-Side (SSS)

Example 2 Given: RSG =RSH, SG = SH. From the information given, can you prove RSG = RSH? Explain. Statements Reasons 1. <RSG = <RSH 1. Given 2. SG = SH 2. Given 3. RS = RS 3. Reflexive Property 4. RSG = RSH 4. Side- Angle-Side (SAS)

Triangle Congruence by SSS and SAS Geometry 2.0 – Students write geometric proofs. Geometry 5.0 – Students prove that triangles are congruent.

Statements Reasons

Statements Reasons

Statements Reasons