Verified Answer :

MissPhiladelphia

The statements that you could use to conclude JKLM is a parallelogram is that line segment JM is congruent with line segment LK and line segment LM is congruent with line segment JK.

InesWalston

Answer:

\(\boxed{\boxed{d.\ \overline{JM}\cong \overline{LK}\ and\ \overline{LM}\cong \overline{JK}}}\)

Step-by-step explanation:

Properties of parallelogram-

  1. Opposite sides are congruent.  (so JM ≅ LK and LM ≅ JK)
  2. Opposite angels are congruent. (so ∠J ≅ ∠L and ∠M ≅ ∠K)
  3. Consecutive angles are supplementary.  (so ∡M+∡J=180, ∡L+∡K=180)
  4. If one angle is right, then all angles are right.
  5. The diagonals of a parallelogram bisect each other. (so MN=KN and JN=LN)

Therefore, option 4 is correct.

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