Step 2. Since BD bisect AC, then
[tex]AE\cong EC[/tex]Step 3. Since AB is parallel to CD and BD bisects AC, then
[tex]\angle A=\angle C[/tex]because angle A and C are alternate interior angles.
Step 4. By means of ASA rule (angle-side-angle) rule, that is
[tex]\begin{gathered} \angle A=\angle C \\ AE\cong EC \\ \angle E=\angle E \end{gathered}[/tex]triangle ABD and CDE are similar.
