Chapter 5
Congruent Triangle Proofs
IN THIS CHAPTER
Proving triangles congruent with SSS, SAS, ASA, AAS, and HLR
CPCTC: Focusing on parts of congruent triangles
Eying the two isosceles triangle theorems
Working with the equidistance theorems
You’ve arrived at high school geometry’s main event: triangle proofs. The proofs in Chapters 2 and 3 are complete proofs that show you how proofs work, and they illustrate many of the most important proof strategies. But they’re sort of just warm-up or preliminary proofs that lay the groundwork for the real, full-fledged triangle proofs you see in this chapter.
Proving Triangles Congruent
Before learning how to prove that triangles are congruent, you’ve got to know what congruent triangles are, right? Here you go … .
Congruent triangles: Triangles in which all pairs of corresponding sides and angles are congruent.
Maybe the best way to think about what it means for two triangles (or any other shapes) to be congruent is that you could move them ...
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