The statement that proves that quadrilateral JKLM is a kite is (b) LM = JM = 3 and JK = LK = √17
The complete question
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How to determine the true statement?
The coordinates of the quadrilateral are:
J = (4,5)
K = (5,1)
L = (1,2)
M = (1,5)
Calculate the lengths of the kite using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]JK = \sqrt{(4 -5)^2 + (5 -1)^2} = \sqrt{17[/tex]
[tex]LK = \sqrt{(1 -5)^2 + (2 -1)^2} = \sqrt{17[/tex]
[tex]LM = \sqrt{(1 -1)^2 + (5 -2)^2} = 3[/tex]
[tex]JM = \sqrt{(1 -4)^2 + (5 -5)^2} = 3[/tex]
On a kite, the adjacent sides are of equal lengths
Because LM = JM = 3 and JK = LK = √17, we can conclude that the quadrilateral JKLM is a kite
Read more about quadrilaterals at:
https://brainly.com/question/23935806
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