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Triangle Congruence by SSS and SAS. Geometry 2.0 – Students write geometric proofs. Geometry 5.0 – Students prove that triangles are congruent. Given : M is the midpoint of XY , AX = AY Prove : AMX = AMY. Example 1. 1. AX = AY 1. Given. 2. XM = MY 2. Given.
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Triangle Congruence by SSS and SAS Geometry 2.0 – Students write geometric proofs. Geometry 5.0 – Students prove that triangles are congruent.
Given:M is the midpoint of XY, AX =AY Prove: AMX = AMY Example 1 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. 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.