SOLUTION: How do you prove that triangles are congruent if SAS=SAS

Question 175664: How do you prove that triangles are congruent if SAS=SAS
Found 2 solutions by Mathtut, gonzo:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
it is difficult to know what your asking here!!! SAS -side,angle,side- is a theorem which states that if any two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congrent. You will have to be more specific what your looking for if this doesnt help
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
if you want to prove that two triangles are congruent by SAS, you have to show that two corresponding sides are congruent and that the angle between those corresponding sides are congruent also.
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once you do that, the triangles are proven congruent by SAS.
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for example:
suppose you are given an isosceles triangle ABC
AB and BC are the equal legs.
BC is the base.
you are then told that AD is the angle bisector of angle ABC.
you might then be asked to prove triangle ABD is congruent to triangle CBD
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you would start by saying:
AB congruent to BC (given)
BD congruent to BD (same line)
angle ABD is congruent to angle CBD (bisector of an angle creates two congruent angles with a common side of each of these angles being the bisector.
triangle ABD is congruent to triangle CBD by SAS
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that's your proof.
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