Mid-point: (3z+z)/2, (2z+8z)/2 = (2z, 5z)
Slope: (8z-2z)/(3z-z) = 6z/2z = 3
Perpendicular slope: -1/3
Equation: y -5z = -1/3(x -2z) => y = -1/3x+2z/3+5z => y = -1/3x+17z/3
General form of the bisector equation: x+3y-17z = 0
Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))
The converse of perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of that segment. Conversely, if a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of that segment. This theorem is a fundamental concept in geometry, often used in constructions and proofs.
perpendicular bisector
I believe this is called the perpendicular bisector.
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.
on the perpendicular bisector of the segment.
If a point is on the perpendicular bisector of a segment, then it is equidistant, or the same distance, from the endpoints of the segment.
Perpendicular Bisector
Points: (-1, -6) and (5, -8) Midpoint: (2, -7) Perpendicular slope: 3 Perpendicular bisector equation: y = 3x -13
Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))
A perpendicular bisector is a line that divides a given line segment into halves, and is perpendicular to the line segment. An angle bisector is a line that bisects a given angle.
The converse of perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of that segment. Conversely, if a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of that segment. This theorem is a fundamental concept in geometry, often used in constructions and proofs.
It's called a perpendicular bisector of the line segment.
Points: (-7, -3) and (-1, -4) Slope: -1/6 Perpendicular slope: 6 Mid-point (-4, -3.5) Equation: y - -3.5 = 6(x - -4) => y = 6x+20.5 Perpendicular bisector equation in its general form: 6x -y+20.5 = 0