the vertices of a parallelogram are j (-5,0) K(1,4), L(3,1) and M(-3,-3). How can you use slope to determine whether the paralle

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the vertices of a parallelogram are j (-5,0) K(1,4), L(3,1) and M(-3,-3). How can you use slope to determine whether the paralle

logram is a rectangle? is it a rectangle? Justify your answer.

Mathematics

1 answer:

liraira [26] · Answer 1 · 2022-04-15T14:44:48+03:00

You have to check the slopes of two sides that intersect each other to see if the slopes are negative reciprocals of each other, which proves perpendicular for a rectangle to exist. If not perpendicular, then it is a parallelogram only.

These turn out to be slopes of 2/3 and -3/2 for perpendicular,
and the same of another pair of slopes.
So the figure is a rectangle.