Question

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

Answer 1

"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,

$Slope\ of\ XY \neq Slope\ of\ WZ\\and\\Slope\ of\ WX \neq Slope\ of\ YZ$

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

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