Explain how to use the midpoint formula to prove or disprove that ABCD is a parallelogram.
A) Prove that AC and BD do not have the same midpoint. The diagonals of a parallelogram cannot have the same midpoint.
B) Prove that AD and BC have the same midpoint. All sides of a parallelogram are congruent; therefore, they have the same midpoint.
C) Prove that AC and BD have the same midpoint. The diagonals of a parallelogram bisect each other; therefore, they have the same midpoint.
D) Prove that AB and CD do not have the same midpoint. All sides of a parallelogram are congruent; therefore, they have different midpoints.

Explain how to use the midpoint formula to prove or disprove that ABCD is a parallelogram A Prove that AC and BD do not have the same midpoint The diagonals of class=

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Asked and answered elsewhere.
https://brainly.com/question/9721468

We know that , the property of parallelogram is that

Diagonals of a parallelogram bisect each other, hence have the same midpoint.

Diagonals of parallelogram bisect each other , it means the diagonals cut each other into two equal halves. Hence , they must have the same mid points.

Hence Option C is the correct answer \

C) Prove that AC and BD have the same midpoint. The diagonals of a parallelogram bisect each other; therefore, they have the same midpoint.

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