Question

Which statements could you use to conclude JKLM is a parallelogram? Picture added below as well.

Answer 1

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.

Answer 2

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

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.