In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that apply.

A. JK = 8, and JM is parallel to KL .
B. JK = 8, and JK is parallel to LM .
C. JK = 8, JM = 8
D. JK = 8, JM = 12

Question

In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that apply.

	A.	JK = 8, and JM is parallel to KL .
 		B.	JK = 8, and JK is parallel to LM .
 		C.	JK = 8, JM = 8
 		D.	JK = 8, JM = 12

anonymous · Answer

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mathstudent55 · Answer

Here are some ways of proving that a quadrilateral is a parallelogram:
1. If both pairs of opposite sides are parallel.
2. If both pairs of opposite sides are congruent.
3. If one pair of opposite sides is both congruent and parallel.
Can you see any information in the choices that would fit into one of the above methods?