If JKLM is a trapezoid, which statements must be true?
A. J is congruent to K.
B. KL is parallel to JM.
C. JK is parallel to LM.
D. JK congruent to KL
E. J is supplementary to K.
F. J is congruent to M.
Check all that apply.

Question

If JKLM is a trapezoid, which statements must be true? 
 		A.	J is congruent to K.
 		B.	KL is parallel to JM.
 		C.	JK is parallel to LM.
 		D.	JK congruent to KL
 		E.	J is supplementary to K.
 		F.	J is congruent to M.
Check all that apply.

anonymous · Answer

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mathstudent55 · Answer

In a trapezoid, only one pair of opposite sides is parallel.

anonymous · Answer

Thanks (: So will it be B. & C. ? @mathstudent55

mathstudent55 · Answer

It can only be one of them. Only one pair of opposite sides is parallel. By the drawing it looks like KL is parallel to JM. That means B., but not C.

There is one more statement that is true. It deals with angles.

mathstudent55 · Answer

Look at the figure below.
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Lines m and n are parallel.
Angles 1 and 2 are same side interior angles.
When two parallel lines are cut by a transversal, same side interior angles are supplementary.
Can you see an example of this in your choices?