Prove: The quadrilateral formed by joining in order the midpoints of the sides of a rectangle is a parallelogram. Given: ABCD is

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Prove: The quadrilateral formed by joining in order the midpoints of the sides of a rectangle is a parallelogram. Given: ABCD is

rectangle K, L, M, N are midpoints Prove: KLMN is a parallelogram Which of the following reasons would complete the proof in line 6? If both pair of opposite sides of a quadrilateral are equal, then it is a parallelogram. If both pair of opposite sides of a quadrilateral are parallel, then it is a parallelogram. If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Mathematics

1 answer:

Ludmilka [50] · Answer 1 · 2022-07-02T11:16:02+03:00

Answer:

If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Step-by-step explanation:

By definition, a parallelogram is a quadrilateral with two pairs of parallel sides. These parallel sides are of equal length and the opposite angles of a parallelogram are of equal measure.