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For the quadrilateral on the grid, the slope of WX is 0, the slope of XY is , the slope of YZ is 0, and the slope of ZW is .


Which statement verifies that quadrilateral WXYZ is a parallelogram?

The difference of the slope of adjacent sides is .
The slopes of adjacent sides are opposite reciprocals.
The opposite sides have the same slope.
XY and YZ have the same slope.

Sagot :

The statement that verifies that quadrilateral WXYZ is a parallelogram is C)The opposite sides have the same slope.

What is a Parallelogram?

This refers to a four-sided figure that is used in geometry and has parallel opposite sides.

Hence:

Remember that the opposite sides of a parallelogram are parallel.

We would solve:

Slope WX = 0

Slope XY= 5/2

Slope XZ= 0

Slope ZW= 5/2

The next step would be:

Slope WX= Slope YZ

Slope XY = Slope ZW

Based on the fact that the opposite sides have the same slopes, we can conclude that quadrilateral WXYZ is a parallelogram

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