Question

What angles would have to be congruent to prove the triangles are congruent by SAS? (help asap please!)

1.) AEB = CED

2.) AEB = DEC

3.) ECD = EAB

4.) CDE = ABE

Answer 1

AEB = DEC

Explanation:

SAS means Side-Angle-Side. So you need to find whats congruent with these triangles. Well, luckily, 2 of them are marked. DE is the same as EB because the two little lines show congruency. Well, that means AE is the same as EC because of the little lines. Well, that's two sides we found congruent so now all we need is an angle to complete Side-Angle-Side.

The angle we need is the one that conects the two triangles because if it were anywhere else it wouldn't be SAS. For example, if the angle you chose was angle B and D it would be SSA which isnt even a form to find congruency. Angles A and C are the same story which leaves us with AEB and DEC which are our congruent angles and our answer for this problem.

Answer 2

2.) AEB = DEC