SOLUTION: How do you know when to put the letters like SAS AAS ASA And SSS? Thank you.

Algebra ->  Geometry-proofs -> SOLUTION: How do you know when to put the letters like SAS AAS ASA And SSS? Thank you.      Log On


   

Question 554090: How do you know when to put the letters like SAS AAS ASA And SSS? Thank you.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that S = side, A = angle.

SAS congruency is a postulate that says that if two triangles have two congruent side lengths, and the angle between them is congruent, then the two triangles are congruent (e.g. if two triangles each have sides of 5 and 6 and the included angle is 57 degrees, then the triangles are congruent).

AAS and ASA are similar; if two triangles have two sets of congruent angles, and the corresponding sides are equal, then the two triangles are congruent.

SSS states that if two triangles have corresponding side lengths (e.g. two 3-4-5 triangles) then the triangles are congruent.

Note that these postulates can also be used to prove similarity.

http://en.wikipedia.org/wiki/Congruence_(geometry)