36.++Triangle+Proof

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When writing two column proof you are simply making conclusions based on given information and other observations that ultimately lead to what you want to prove. There are five shortcuts to help you when deciding if the two triangles are congruent. They consist of ASA (Angle Side Angle), SSS (Side Side Side), SAS (Side, Angle, Side), HL (Hypotenuse Leg), and AAS (Angle Angle Side).

To assist you when trying to find congruent parts, these are some definitions and theorems you can look to use: the definition of segment bisector, definition of angle bisector, definition of a midpoint, definition of perpendicular lines, reflexive property, alternate interior angle theorem, corresponding angles postulate, consecutive interior angle theorem, vertical angle theorem and all right angles are congruent. You always start your proof with the given information and end with what you are trying to prove.

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 * Example Problems of Triangle Proofs:**

[|Proof Help and Practice Problems] [|Help on Triangle Proofs] **
 * Here are some helpful websites!