Proof: Congruent Triangle Transitive Property

Let's prove the following theorem:

if △ABC ≅ △GEF and △DEF ≅ △GEF, then △ABC ≅ △DEF

A B C D E F G

Proof:

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Given
1 △ABC ≅ △GEF
2 △DEF ≅ △GEF
Proof Table
# Claim Reason
1 △GEF ≅ △DEF if △DEF ≅ △GEF, then △GEF ≅ △DEF
2 △ABC ≅ △DEF if △ABC ≅ △GEF and △GEF ≅ △DEF, then △ABC ≅ △DEF

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