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Because Corresponding Parts of Congruent Triangles, there are five ways to prove that two triangles are congruent. Show that all sides are congruent. (SSS) Show that two sides and their common angle are congruent. (SAS) Show that two angles and their common side are congruent. (ASA) Show that two angles and one of the non common sides are congruent. (AAS) Show that the hypotenuse and one leg of a right triangle are congruent. (HL)
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
SAS (Side-Angle-Side) is a geometric term that describes if two triangles are congruent - whether it is a right triangle or not.
congruent
There are three main ways to prove to triangles congruent. If all the sides match, if a side then an included angle and the next side and last angle-side angle. SSS, SAS. ASA