statements
Reason
1 Given
2 Given
3 C is the midpoint BD
4 Vertical angles
5 AB perpendiculat BD and BD perpendicular to DE
6 both angles are right angles (90 degrees)
7
In this part we have two sets of corresponding angles congruent and the included side congruent
that means
the triangles are congruent by ASA congruence theorem
therefore
7 by ASA congruence theorem