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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

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SaniShahbaz

Answer:

Quadrilateral WXYZ is not a parallelogram because opposite sides are not parallel.

Step-by-step explanation:

In a Quadrilateral WXYZ, there are two pairs of opposite sides.

  1. WX and YZ
  2. WZ and XY

Here,

For the opposite sides WX and YZ

  • m = 1/3 is the slope of WX.
  • m = -3 is the slope of YZ.

It means the slopes of WX and YZ are not same. So, the opposite sides WX and YZ are not parallel.

For the opposite sides WZ and XY

  • m = 1/3 is the slope of WZ.
  • m = -3 is the slope of XY.

It means the slopes of WZ and XY are not same. So, the opposite sides WZ and XY are not parallel.

Therefore, we can conclude that Quadrilateral WXYZ is not a parallelogram because opposite sides are not parallel.

Keywords: parallelogram, slope, opposite sides

Learn more about parallelogram from brainly.com/question/5956826

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