Question

Three points on a coordinate plane are −1, 5 , 1, 4 , and −5,4 . If Malcolm plots a point to create a parallelogram, then which of the following coordinates use for the last point A −3,6 B −7, 5 C −9, 6 D −3, 3

Answer 1

First, plot the given point so that you can visualize the parallelogram. As you can see, I plotted a red point which is the estimated missing vertex of the parallelogram. To prove this, the opposite sides must be equal.

Between point(-1,5) and point(1,4)
Distance = √(-1 - 1)²+(5 - 4)² = √5

The length √5 will be our basis. Let's try choice D because this is the nearest to our estimate.

Choice D. Between point(-5,4) and point(-3,3)
Distance = √(-5 - ⁻3)²+(4 - 3)² = √5

Therefore, the answer is D.