Anyone help me on congruence

Question

Given: AC and DB bisect each other.

Prove: △ABE≅△CDE

Answer 1

If the 2 triangles share a vertical angle at E, then the 2 triangles are congruent by SAS.

Hard to do what you ask without a figure, but ...

Call the point of intersection E

measure of angle AEB = measure of angle BEC vertical angles are equal

length of DE = length of BE by hypothesis (given)

length of AE = length of CE by hypothesis (given

triangle AED is congruent to triangle BEC ....SAS

Oh sorry, I picked the wrong 2 triangles.

The argument for triangle CDE and triangle ABE is exactly the same!!