I need help in my math in givens and proves.?

Question

GIVEN:AB and CD intersect at E, BA bisects CD, CA_I_CD, BD_I_ CD
PROVE:a. [triangle]ACE~=[triangle]BDE. b. AE~=BE

Answer 1

AC_|_ CD and BD_|_ CD { Given}
Therfore angle C = angle angle D {All right angles are =}
angle AEC = angle DEB {vertical angles are =}
BA bisects CD {Given}
Therefore CE = ED {Definition of bisector}
Therefore triangle ACE congruent triangle BDE {ASA)
Q.E.D