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Given: Quadrilateral ABCD has vertices at A(3,−4), B(6,−7), C(−5,−5), and D(−8,−2).

Prove: Quadrilateral ABCD is a parallelogram.
You can prove that quadrilateral ABCD is a parallelogram by showing AC bisects BD.
Which method will allow you to show AC and BD bisect each other?

A. Find the slopes of AC and BD using the midpoint formula. If the slopes are the same, then the segments bisect each other.
B. Find the midpoints of AB and DC using the midpoint formula. If the midpoints have the same y-coordinates, then the segments bisect each other.
C. Find the midpoints of AC and BD using the midpoint formula. If the midpoints have the same coordinates, then the segments intersect at their midpoints.
D. Find the midpoints of AD and BC using the midpoint formula. If the midpoints have the same x-coordinates, then the segments bisect each other.

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  1. so, which of the steps do you not understand?
    check the slopes and see whether they are the same in pairs.

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