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IRINA_888 [86]
3 years ago
12

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?
Mathematics
2 answers:
CaHeK987 [17]3 years ago
4 0

Answer:

B)  LM = JM = 3 and JK = LK = \sqrt{17}

Step-by-step explanation:

Edge 2021

Good Luck :)

Nata [24]3 years ago
3 0

Answer:

LM = MJ = 3

JK = KL = \sqrt{17

Step-by-step explanation:

Given

J  = (4,5)

K = (5,1)

L = (1,2)

M = (1,5)

Required

Prove it's a kite

Start by calculating the length of the sides of the kite using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}

JK = \sqrt{(4 - 5)^2 + (5 -1)^2} = \sqrt{17}

KL = \sqrt{(5 - 1)^2 + (1 -2)^2} = \sqrt{17}

LM = \sqrt{(1 - 1)^2 + (2 -5)^2} = \sqrt{9} =3

MJ = \sqrt{(1 - 4)^2 + (5 -5)^2} =\sqrt{9} = 3

Hence:

LM = MJ = 3

JK = KL = \sqrt{17

proves that it is a kite

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