The area of a playing card is 48 square centimeters. It is 8 centimeters tall. How wide is it?
1 answer:
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A rectangle is a parallelogram with four right angles.
That's why in order to prove that LMNP is rectangle you have to show that LP is perpendicular to PN.
Solution:
The coordinates of vertices are L(-4,1), P(-3,-1) and N(3,2), then
.
Find the dot product:
.
Since the dot product of two vectors is equal to zero, these vectors are perpendicular.
LMNP is a parallelogarm, then
.
You show that all angles are right, this means that parallelogram LMNP is a rectangle.
Answer: correct choice is D.