The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).
<em><u>Recall:</u></em>
The slopes of the opposite sides of a parallelogram are always parallel.
When two lines have a slope that is equal, the lines are said to be parallel to each other.
The slopes given shows are:
-1/2, 3/2, -1/2, and 3/2
This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.
Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).
