Proving Triangle Congruence through Transformations

Within this blog you will discover how to perform 2 types of Transformations (Translations, Reflections), prove angles formed from parallel lines and transverals by geometric proofs and how to use geometric proofs to prove triangle congruency.

Triangle congruence Vocabulary (Accompanied by visuals)

Congruence

Right Angles (using a Right triangle as an example) 

Angle Bisector 

Perpendicular Bisector 

Translation

Reflection 

"Reflected Triangles" - Something Extra 

Rotation  

"Rotated Triangles" - Something Extra 

Side-Side-Side (SSS) (triangle congruency) 

Side-Angle-Side (SAS) (triangle congruency) 

Angle-Side-Angle (ASA) (triangle congruency) 

Angle-Angle-Side (AAS) (triangle congruency) 

Hypotenuse-Lg (HL) (Triangle Congruency) 

Corresponding Parts of Congruent Triangles are Congruent (CPCTC) 
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