Given: quadrilateral mnol with mn ≅ lo and ml ≅ no prove: mnol is a parallelogram. 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

The answers are ONM, NOM, and alternate interior angles.
Based on the SSS postulate, the two triangles △MLO and △ONM are congruent since three sides of △MLO are respectively equal to the three sides of △ONM.
Based on CPCTC, all of the corresponding angles of △MLO and △ONM are congruent as well since the two triangles are congruent, that is,   
     ∠LMO≅∠NOM and ∠NMO≅∠LOM.
Since the pair ∠LMO and ∠NOM as well as ∠NMO and ∠LOM are angles on the inner side of two lines but on opposite sides of the transversal MO, these pairs of angles are also alternate interior angles.

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