list the theorems and axioms for triangle
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Triangle Congruence Theorems (SSS, SAS, & ASA Postulates)
Triangles can be similar or congruent. ... Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.
Since this result can be proved, it is called a theorem and to prove it, we use the SAS axiom for congruence. Theorem 7.1 (ASA congruence rule) : Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle.
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