SAS (Side-Angle-Side) is a geometric term that describes if two triangles are congruent - whether it is a right triangle or not.
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SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
Triangles are congruent when:All three sides are the same length (SSS congruency)Two sides and the angle between them are the same length (SAS congruency)Two angles and the side between them are the same length (ASA congruency)
It is an acronym for the postulate "Side Angle Side". This is used to determine a triangle's congruency to other triangles. SAS is grouped often with SSS, AAS, and ASA (all "A"s are angle, all "S"s are side.)
YesFor two triangles to be congruent, their corresponding sides must be of equal length. But for triangles to be similar, they must only have equal angles. For there to be a SAS postulate for similarity, the two corresponding sides would have to be proportionate, not equal. If they were equal, the triangles would be congruent.So, an SAS postulate for similar triangles would mean that two of the sides of the smaller triangle are, for example, half the two corresponding sides of the other triangle. If also the corresponding included angles are equal, then the two triangles would be similar triangles.APEX: similar
Two sides and the included angle.