How could you use coordinate geometry to prove that segment BD and segment AC bisect one another?

Prove the slopes are the same.

Prove the slopes are opposite reciprocals.

Prove the lengths are the same.

Prove the midpoints are the same.

Prove the midpoints are the same.

Step-by-step explanation:

The figure is a parallelogram because AD and BC are equal in length and parallel.

Using the coordinates of the B and D you can find the midpoint of BD.

Similarly you can find the midpoint of AC.

If they are the same this proves that BD and AC bisect each other.

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