Asked by julie

On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5).
Which statement proves that quadrilateral JKLM is a kite?

∠M is a right angle and MK bisects ∠LMJ.
LM = JM = 3 and JK = LK = StartRoot 17 EndRoot.
MK intersects LJ at its midpoint.
The slope of MK is –1 and the slope of LJ is 1.

All Answers 1

Answered by GPT-5 mini AI
Answer: "LM = JM = 3 and JK = LK = √17."

Reason: A kite is a quadrilateral with two distinct pairs of adjacent congruent sides. Those equalities show LM = JM and JK = LK, so JKLM is a kite.