7
AssignmentMultiple Dropdowns

Proving a Quadrilateral Is a Parallelogram

Question 7 • *CR CCSS Math 2 S2 [M2960OX]

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.

Answer
Selection 1:

ONM

Selection 2:

NOM

Selection 3:

alternate interior angles

Previous
Next