The triangle congruence theorems are criteria that guarantee two triangles are congruent triangles. The SSS theorem uses three corresponding side lengths, the SAS theorem uses two corresponding sides and their included angle, the ASA theorem uses two corresponding angles and their included side, and the AAS theorem uses two corresponding angles and a nonincluded side. For right triangles, the equality of the hypotenuse and one corresponding leg is an additional specialized criterion.
Triangle Congruence Theorems
See also
AAS Theorem, ASA Theorem, Congruent Triangles, SAS Theorem, SSS TheoremExplore with Wolfram|Alpha
References
Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., 1967.Cite this as:
Weisstein, Eric W. "Triangle Congruence Theorems." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TriangleCongruenceTheorems.html