I'm having a little trouble understanding 2 column proofs about the SAS, SSS, ASA, and AAS congruence postulate. The question and picture is in this link: http://oi40.tinypic.com/35jgu4p.jpg
It wants me to complete a 2 column proof. If you could explain the steps, or any other info that might help me understand these a little better it would be much appreciated. Thanks :D
It wants me to complete a 2 column proof. If you could explain the steps, or any other info that might help me understand these a little better it would be much appreciated. Thanks :D
-
AB = AD <-------------------------------- Given
CA = EA <-------------------------------- Given
triangle ABC = triangle ADE <----- SAS
Edited to add:
According to Justin...
"but I know that since side AB is congruent to side AD, and side CE is congruent to side EA, that would mean that angle DAE is congruent to angle CAB"
That is incorrect. Just because the two legs of one angle are congruent to the legs of another angle does _not_ imply that the two angles are equal!!!!!
CA = EA <-------------------------------- Given
Edited to add:
According to Justin...
"but I know that since side AB is congruent to side AD, and side CE is congruent to side EA, that would mean that angle DAE is congruent to angle CAB"
That is incorrect. Just because the two legs of one angle are congruent to the legs of another angle does _not_ imply that the two angles are equal!!!!!
-
Well, I can't remember much about proofs, but I know that since side AB is congruent to side AD, and side CE is congruent to side EA, that would mean that angle DAE is congruent to angle CAB, and by using the Side Angle Side postulate, you know that the triangles are congruent.