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

Question

contestada

Respuesta :

absor201 absor201 · Answer 1 · 2020-02-09T13:38:50+01:00

"B) No, because opposite sides are not parallel" is the correct answer

Step-by-step explanation:

As given sides of quadrilateral:

The opposite sides will be:

WX and YZ

XY and WZ

The quadrilateral is said to be a parallelogram if its opposite sides are parallel.

As we are also given slopes of lines also, the slope of opposite sides should be equal if the quadrilateral is a parallelogram

So,

[tex]Slope\ of\ XY \neq Slope\ of\ WZ\\and\\Slope\ of\ WX \neq Slope\ of\ YZ[/tex]

As the slopes of opposites sides are not same, which means the opposite sides are not parallel so the given quadrilateral cannot be a parallelogram

Hence,

"B) No, because opposite sides are not parallel" is the correct answer

Keywords: Parallelogram, slopes

Learn more about parallelogram at:

#LearnwithBrainly