Triangle Congruence and Similarity Theorems

Theorems and postulates that establish conditions for proving when triangles are congruent or similar to each other.

Aa (angle-angle) Similarity Postulate


Aas (angle-angle-side) Congruence


Aas (angle-angle-side) Theorem


Angle Addition Postulate


Asa (angle-side-angle)


Asa (angle-side-angle) Congruence


Asa (angle-side-angle) Postulate


Converse of the Hinge Theorem


Cpctc


Geometric Theorems


Hinge Theorem


Hl (hypotenuse-leg)


Hl (hypotenuse-leg) Theorem


Law of Sines


Pythagorean Theorem


Reflexive Property


Sas (side-angle-side) Congruence


Sas (side-angle-side) Postulate


Sas (side-angle-side) Similarity Theorem


Segment Addition Postulate


Sss (side-side-side)


Sss (side-side-side) Similarity Theorem


Triangle Similarity


Triangle Similarity Criteria