Given: quadrilateral MNOL with MN ≅ LO and ML ≅ NO Prove: MNOL is a parallelogram. Quadrilateral L M N O is shown. Sides M N and L O are congruent. Sides L M and O N are congruent. Complete the paragraph proof. We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △ . By CPCTC, ∠LMO ≅ ∠ and ∠NMO ≅ ∠LOM. Both pairs of angles are also , based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.