Math and Arithmetic
What is the perpendicular bisector equation of the line segment whose end points are at -2 4 and -4 8 on the Cartesian plane?
June 21, 2017 11:45AM
End points: (-2, 4) and (-4, 8)
Midpoint: (-3, 6)
Perpendicular slope: 1/2
Perpendicular bisector equation: y -6 = 1/2(x--3) => y = 0.5x+7.5
State the Perpendicular Bisector Theorem and its converse as a biconditional?
Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.