In a quadrilateral, given two side lengths, which additional facts guarantee it is...
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Problem
In a quadrilateral, given two side lengths, which additional facts guarantee it is a parallelogram?
Step-by-step solution
For a quadrilateral to be a parallelogram, opposite sides must be equal in length and parallel. Given $KL=12$ and $LM=8$, option B states $JK=8$ and $JM=12$, making opposite sides equal. Option D states $JK=8$ and $JK$ is parallel to $LM$. If $JK=8$ and $LM=8$, and $JK \parallel LM$, then it's a parallelogram.
Answer
B, D