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

Question

Duncan Espinoza

Mathematics

29 April, 15:42

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

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Coby Woods · Answer 1

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.