Triangle Proofs

Geometry Tutorial

Triangle Proofs

Intro

In triangle proofs, we try to prove two triangles to be congruent based on the five main theorems alongside with some other statements to fill out or given. However, they are two triangle theorems that are known as “donkey theorems” because the two triangles are not congruent.

Sample Problem

What are the five triangle theorems?

Solution

SSS(side-side-side)
SAS(side-angle-side)
AAS(angle-angle-side)
ASA(angle-side-angle)
HL(hypotenuse-leg)



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