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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

Respuesta :

absor201

"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:

  • brainly.com/question/4550858
  • brainly.com/question/4639731

#LearnwithBrainly

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