Question

Help with proof geometry

Answer 1

Given -

• - AE bisect BD

To prove -

• Angle A = Angle E

Solution -

Angle BCA = Angle ECD ( opposite angles are equal)

C is the mid point of AB

AC = CE

C is the mid point of BD

BC = CD

In triangle ABC and CED

AC = CE ( prove above)

Angle BCA = Angle ECD ( prove above)

BC = CD

By SAS congruence criteria ABC is congruent to CED

By cpct angle A is congruent to angle E

hence, Proved