To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?The length of JK equals the length of JL.The length of GH is half the length of KL.The slope of JK equals the slope of JL.The slope of GH is half the slope of KL.

The triangle midsegment theorem says that the segment joining the midpoints of two sides of a triangle is half the length of the third side. In the diagram, GH is the midsegment and KL is the third side, so the statement to show is that GH is half the length of KL. Therefore, the correct choice is “The length of GH is half the length of KL.”

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