Question

In the figure shown e is the midpoint of segment bd and ae = ec . choose the correct statement(s)

Answer 1

Answer:

Triangle ABE and triangle CDE are congruent by using SAS theorem.

Step-by-step explanation:

It is given that e is the midpoint of BD and $AE=EC$.

$BE\cong DE$             (E is midpoint of BD)

Angle AEB and angle CED are vertical opposite angle and the vertical opposite angles are always same.

$\angle AEB\cong \angle CED$

$AE=EC$                 (Given)

So by using SAS theorem of congruent triangles.

$\triangle ABE\cong \triangle CED$

Therefore triangle ABE and triangle CDE are congruent by using SAS theorem.