Question

When given the information below, can you conclude that Quadrilateral WXYZ is a parallelogram? Why or why not?

In Quadrilateral WXYZ, the sides have the following slopes:
WX: m = 1/3
XY: m = -3
YZ: m = -3
WZ: m = 1/3
A) No, because opposite sides are not congruent
B) No, because opposite sides are not parallel
C) Yes, because opposite sides are congruent
D) Yes, because opposite sides are parallel

Answer 1

Answer:

Option B) No, because opposite sides are not parallel

Step-by-step explanation:

we know that

In a parallelogram opposite sides are parallel and congruent

In this problem

we have a quadrilateral WXYZ

opposite sides are

WX and YZ

XY and WZ

Remember that

If two lines are parallel, then their slopes are equal

Compare the slope of the opposite sides

WX and YZ ----> the slopes are not equal

XY and WZ ----> the slopes are not equal

therefore

Is not a parallelogram, because opposite sides are not parallel