The slope for is JK 1/3 , the slope of LK is -2 , the slope of ML is 2/5 , and the slope of MJ is 3/2 . Quadrilateral JKLM is not a parallelogram because neither pair of opposite sides is parallel
Further explanation:
Given vertices are:
J(−4, 1) , K(2, 3) , L(5, -3) , and M(0, −5) .
We have to find the slopes before concluding any result
The formula for slope is:
So:
<u>Slope of JK:</u>
<u>Slope of LK:</u>
<u>Slope of ML:</u>
<u>Slope of MJ:</u>
As the slopes of all sides are different, the given quadrilateral is not a parallelogram because in order for the quadrilateral to be a parallelogram the opposite sides have to be parallel i.e. have equal slopes and there are no sides with equal slopes.
Keywords: Parallelogram, Quadrilateral
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