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Which statement verifies that quadrilateral WXYZ is a
parallelogram?
A)The difference of the slope of adjacent sides is
B)The slopes of adjacent sides are opposite reciprocals.
C)The opposite sides have the same slope.
D)XY and YZ have the same slope.

Which statement verifies that quadrilateral WXYZ is a parallelogram AThe difference of the slope of adjacent sides is BThe slopes of adjacent sides are opposite class=

Respuesta :

luisejr77

Answer: OPTION C.

Step-by-step explanation:

The opposite sides of a parallelogram are parallel.

By definition, parallel lines have the same slope.

According to the information provided in the exercise:

[tex]Slope\ WX=0\\\\Slope\ XY=\frac{5}{2}\\\\Slope\ YZ=0\\\\Slope\ ZW=\frac{5}{2}[/tex]

Then:

[tex]Slope\ WX=Slope\ YZ\\\\\\Slope\ XY=Slope\ ZW[/tex]

Therefore, since the opposite sides have the same slope, we can conclude that the quadrilateral WXYZ is a parallelogram.

Answer:

C

Step-by-step explanation:

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