Question

I need help with this pls

Answer 1

Explanation:

1) Parallelogram ABCD, E is the midpoint of
`\overline{DC}`, F is the midpoint of
`\overline{AB}` (given)

2)
`DE=(1)/(2)DC, BF=(1)/(2)AB` (When a segment is bisected, each part is half the length of the whole segment)

3)
`\overline{DC} \cong \overline{AB}` (opposite sides of a parallelogram are congruent)

4)
`DC=AB` (congruent segments have equal measure)

5)
`DE=BF` (substitution)

6)
`\overline{DE} \cong \overline{BF}` (segments with equal measure are congruent)

7)
`\angle D \cong \angle B` (opposite angles of a parallelogram are congruent)

8)
`\overline{AD} \cong \overline{BC}` (opposite sides of a parallelogram are congruent)

9)
`\triangle ADE \cong \triangle CBF` (SAS)

10)
`\overline{AE} \cong \overline{CF}` (CPCTC)