Respuesta :

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:

[tex]\boxed{\boxed{d.\ \overline{JM}\cong \overline{LK}\ and\ \overline{LM}\cong \overline{JK}}}[/tex]

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.