The only Two Triangle congruence shortcuts that do not prove congruence are: 1.AAA( Three pairs of angles in a triangle) & 2.ASS or SSA(If the angle is not in between the two sides like ASA.
leonhard euler
they are all postulates or shortcuts on finding 2 triangles congruence, except that SAA does not exist.
SSS-side, side, side SAS-side, angle, side ASA-angle, side, angle SAA-side, angle, angle
The congruence symbol was invented by Gottfried Leibniz.
Reflecting
Congruence is a Noun.
It was created for the use of congruence between segments, angles, and triangles. Also it was created for the transitional property of congruence, symmetry property of congruence, and Reflexive property of congruence.
Parenthetos, a greek mythologist that had so many "shortcuts" at his speech that he needed to define a way for the audience to understand.
Congruence is basically the same as equality, just in a different form. Reflexive Property of Congruence: AB =~ AB Symmetric Property of Congruence: angle P =~ angle Q, then angle Q =~ angle P Transitive Property of Congruence: If A =~ B and B =~ C, then A =~ C
reflexive property of congruence
HL congruence theorem