Lmnp is a parallelogram. what additional information would prove that lmnp is a rectangle?

(D) LP⊥PN

Step-by-step explanation:

A rectangle is a parallelogram with four right angles., thus in order to prove that LMNP is rectangle, we have to show that LP is perpendicular to PN.

The coordinates of vertices are L(-4,1), P(-3,-1) and N(3,2), then

⇒

And,

⇒

Now, taking the dot product, we have

⇒

Since the dot product of two vectors is equal to zero, these vectors are perpendicular.

Also, It is given that LMNP is  a parallelogram , therefore

and

Thus, all the angles of the given parallelogram are equal and are equal to 90°, therefore LMNP is a rectangle.

Hence proved.

Thus, option D is correct.

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step-by-step explanation:

d is the only accurate one

step-by-step explanation: