Fill in the missing statement and reason of the proof below. Given: ABCD is a parallelogram, E is the midpoint of AB and F is the midpoin of DC. Prove: DE FB. Step 1 2 3 4 5 7 8 Statement ABCD is a parallelogram E is the midpoint of AB F is the midpoint of DC DC AB DF = DC EB= AB DF EB DC | AB Type of Statement DFBE is a parallelogram Reason Given Opposite sides of a parallelogram are congruent When a midpoint divides a segment into two parts, each part is half the length of the whole segment When a midpoint divides a segment into two parts, each part is half the length of the whole segment Segments that are half the lengths of congruent segments are congruent Opposite sides of a parallelogram are parallel DFBE is a parallelogram because it is a quadrilateral with one pair of opposite sides parallel and congruent

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