Proof: Congruent Triangles

Let's prove the following theorem:

if distance AB = distance DE and distance BC = distance EF and distance AC = distance DF, then △ABC ≅ △DEF

A E B C D

Proof:

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Given
1 distance AB = distance DE
2 distance BC = distance EF
3 distance AC = distance DF
Proof Table
# Claim Reason
1 distance CA = distance FD if distance AC = distance DF, then distance CA = distance FD
2 ABC ≅ △DEF if distance AB = distance DE and distance BC = distance EF and distance CA = distance FD, then △ABC ≅ △DEF
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