SOLUTION: Prove quadrilateral LOVE is a rhombus but not a square. L (2,2) O (-1,1) V (-2,-2) E (1,-1)

Question 1033853: Prove quadrilateral LOVE is a rhombus but not a square.
L (2,2) O (-1,1) V (-2,-2) E (1,-1)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Quadrilateral LOVE is a parallelogram, with sides LO and VE having slope 1/3 and sides OV and LE having slope 3.
Also, after using the distance formula.
It is enough to show that one of the interior angles is not a right angle.
Angle OVE is evaluated as follows:
==> .
Therefore LOVE is a rhombus but not a square.
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