Question

Show that quadrilateral ABCD is a ||gram by three methods of coordinate geometry: slope, distance, and midpoint.

Answer 1

ABCD is not a parallelogram.

Step-by-step explanation

We have to apply the given equations to find the slopes, distances, and midpoint bisectors,

ABCD is a parallelogram if opposite sides are parallel and congruent. In this case, AB and CD are opposite sides and BC and CD are opposite sides.

As we can see, neither of the slopes of the sides are congruent. This means that neither pair of sides is parallel. Hence, ABCD is not a parallelogram.