Question

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.

Answer 1

B. LM = JM = 3 and JK = LK = √17.

Explanation:

∠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.

Answer 2

MK intersect LJ at midpoint that's my opinion