Please Help! Easy! Which statement explains how you could use coordinate geometry to prove the diagonals of a quadrilateral are perpendicular?

A) Use the slope formula to prove the slopes of the diagonals are the same.

B) Use the slope formula to prove the slopes of the diagonals are opposite reciprocals.

C) Use the distance formula to prove the lengths of the diagonals are the same.

D) Use the distance formula to prove the midpoints of the diagonals are the same.

The answer is B.

9514 1404 393

  B) Use the slope formula to prove the slopes of the diagonals are opposite reciprocals.

Step-by-step explanation:

A distance formula is used to find the length of a line segment. Knowing diagonal lengths cannot tell you they are perpendicular, eliminating choices C and D.

Diagonals of a quadrilateral are never parallel, so choice A makes no sense.

The slopes of the diagonals of a quadrilateral will be opposite reciprocals if the diagonals are perpendicular. The slope formula can be used to show that is the case. Choice B is the appropriate answer.

y > 1/3x

y < = -x + 4

hope this : )