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by If you were asked to prove that 2 given triangles are congruent,you should make sure that one of the following methods is satisfied:
-By returning to the given,you can prove that 2 sides in both triangles are equal,and each angle enclosed by these 2 sides in both triangles is equal to the other,we call this method "side-angle-side"or S.A.S.
-Another method is to prove that 1 side in both triangles is equal and the angles corresponding to it in both triangles are equal, we call this method "angle-side-angle"or A.S.A.
-A third method is to prove that all the corresponding sides in both triangles are equal, we call this method "side-side-side"or S.S.S.
-Special case:If the 2 triangles were right triangles,it is enough to prove that the hypotenuse(side opposite to the right angle) is equal in both triangles, plus proving 1 angle or side equal in both triangles.
-By returning to the given,you can prove that 2 sides in both triangles are equal,and each angle enclosed by these 2 sides in both triangles is equal to the other,we call this method "side-angle-side"or S.A.S.
-Another method is to prove that 1 side in both triangles is equal and the angles corresponding to it in both triangles are equal, we call this method "angle-side-angle"or A.S.A.
-A third method is to prove that all the corresponding sides in both triangles are equal, we call this method "side-side-side"or S.S.S.
-Special case:If the 2 triangles were right triangles,it is enough to prove that the hypotenuse(side opposite to the right angle) is equal in both triangles, plus proving 1 angle or side equal in both triangles.
Last edited by rabih sarieddeen on Thu Mar 19, 2009 8:07 pm; edited 2 times in total (Reason for editing : some mistakes during typing)
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