Answer:
Step-by-step explanation:
1) Parallelogram ABCD, [tex]\overline{DE} \perp \overline{AB}, \overline{BF} \perp \overline{DC}[/tex] (given)
2) [tex]\angle DAE \cong \angle FCB[/tex] (opposite angles of a parallelogram are congruent)
3) [tex]\angle AED[/tex] and [tex]\angle BFC[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\angle AED \cong \angle BFC[/tex] (all right angles are congruent)
5) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)
6) [tex]\triangle AED \cong \triangle CFB[/tex] (AAS)
7) [tex]\overline{DE} \cong \overline{BF}[/tex] (CPCTC)
