SOLUTION: Quadrilateral KLMN has vertices K(2, 3), L(7,3), M(4,7) and N(-1,7). Prove that the quadrilateral is a rhombus by finding the lengths of the four sides. 1. KL = 2. LM = 3.

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: Quadrilateral KLMN has vertices K(2, 3), L(7,3), M(4,7) and N(-1,7). Prove that the quadrilateral is a rhombus by finding the lengths of the four sides. 1. KL = 2. LM = 3.      Log On

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Question 408417: Quadrilateral KLMN has vertices K(2, 3), L(7,3), M(4,7) and N(-1,7). Prove that the quadrilateral is a rhombus by finding the lengths of the four sides.
1. KL =
2. LM =
3. MN =
4. NK =

Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
A rhombus is a Quadrilateral with all sides equal in length
D = sqrt+%28%28x1-x2%29%5E2%2B%28y1-y2%29%5E2%29%29
K(2, 3),
L(7,3) KL = sqrt%2825%29+=+5
L(7,3),
M(4,7) LM =sqrt%28+9+%2B+16%29+=+5
M(4,7) and
N(-1,7) MN = sqrt%2825%29+=+5
N(-1,7),
K(2, 3) NK = sqrt%28+9+%2B+16%29+=+5