Question

Triangles proofs level 1

Answer 1

Step 2. Since BD bisect AC, then

`AE\cong EC`

Step 3. Since AB is parallel to CD and BD bisects AC, then

`\angle A=\angle C`

because angle A and C are alternate interior angles.

Step 4. By means of ASA rule (angle-side-angle) rule, that is

`\begin{gathered} \angle A=\angle C \\ AE\cong EC \\ \angle E=\angle E \end{gathered}`

triangle ABD and CDE are similar.