In the diagram, a∥b and e∥f , forming a parallelogram. Fill out the proof below that proves that opposites of the parallelogram are congruent.
Statement: a∥b and e∥f
Reason: Given
Statement: AB∥DC and EF∥GH
Reason: Corresponding angles of parallel lines
Statement: AD∥BC and EH∥FG
Reason: Corresponding angles of parallel lines
Statement: ABCD is a parallelogram
Reason: Definition of a parallelogram
Statement: ADBC is a rectangle
Reason: Opposite sides of a parallelogram are congruent and angles are 90 degrees
Statement: AD≅BC and AB≅DC
Reason: Opposite sides of a rectangle are congruent
Statement: FG≅HE and EF≅GH
Reason: Opposite sides of a rectangle are congruent
Statement: CD≅AB and GH≅EF
Reason: Opposite sides of a parallelogram are congruent
Statement: ADBC is congruent to EFGH
Reason: All sides and angles of both rectangles are congruent
Statement: Opposite sides of a parallelogram are congruent
Reason: A parallelogram is defined as a quadrilateral with opposite sides that are parallel and congruent.