Asked by julie
Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12.8 meters, the lengths of J N and N L are 3.7 meters, and the lengths of K M and M L are 5.9 meters.
Which statements about triangle JKL are true? Select two options.
M is the midpoint of line segment KJ.
N is the midpoint of line segment JL.
MN = One-halfKJ
MN = 4.4m
MN = ML
All Answers 1
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Correct choices:
- N is the midpoint of line segment JL.
- MN = one-half KJ.
Reason: JN = NL = 3.7, so N is the midpoint of JL. M and N are midpoints of KL and JL respectively, so by the Midpoint Theorem MN = 1/2·KJ = 1/2·12.8 = 6.4 m (so MN ≠ 4.4 and MN ≠ ML).
- N is the midpoint of line segment JL.
- MN = one-half KJ.
Reason: JN = NL = 3.7, so N is the midpoint of JL. M and N are midpoints of KL and JL respectively, so by the Midpoint Theorem MN = 1/2·KJ = 1/2·12.8 = 6.4 m (so MN ≠ 4.4 and MN ≠ ML).
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