Triangles Congruence Theorems (SSS, SAS, ASA, HL)

Methods for Proving Triangles Congruent

Goal:

Learn Different methods to prove triangles are congruent using:

1. Side Lengths
   
2. Side Lengths and Angles
   

Provingtrianglescongruentssssasasa

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In summary, when working with congruent triangles, remember to:

1. Mark any given information on your diagram.
2. Look to see if the pieces you need are "parts" of the triangles that can be proven congruent.
3. If not given all needed pieces to prove the triangles congruent, look to see what else you might know about the diagram.
4. Know your definitions! If the given information contains definitions, consider these as "hints" to the solution and be sure to use them.
5. Stay open-minded. There may be more than one way to solve a problem.
6. Look to see if your triangles "share" parts. These common parts are automatically one set of congruent parts.
   

Remember that proving triangles congruent is like solving a puzzle. Look carefully at the "puzzle" and use all of your geometrical strategies to arrive at an answer.