Fill in the missing statement and reason of the proof below.
Given: ABCD is a parallelogram, AE ⊥ EC and DF ⊥ EC.
Prove: AEFD is a rectangle.

1. ABCD is a parallelogram, AE ⊥ EC, DF ⊥ EC
Given

2. angle, A, E, B∠AEB is a right angle
Perpendicular lines form right angles

3. AE ∥ DF
If two lines are perpendicular to the same line, then the two lines are parallel

4. ANSWER HERE WITH REASON


5. EF ∥ AD
Segments that are colinear with parallel segments are parallel

6. AEFD is a parallelogram
AEFD is a parallelogram because it is a quadrilateral with two pairs of opposite sides parallel

7. AEFD is a rectangle
AEFD is a rectangle because it is a parallelogram with one right angle