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In its general form it works out as: 3px+qy-12p2-2q2 = 0
Improved Answer:-
Points:(p, q) and (7p, 3q)
Slope: q/3p
Perpendicular slope: -3p/q
Midpoint: (4p, 2q)
Equation: y-2q = -3p/q(x-4p) => yq = -3px+12p2+2q2
Perpendicular bisector equation in its general form: 3px+qy-12x2-2q2 = 0
What else can I help you with?
What is a line that is perpendicular to the line segment intersecting the line segment at its midpoint?
perpendicular bisector
what is true about the creased bisector and the line segment that is bisected?
The bisector and the line segment are perpendicular to each other.
What is the converse of the perpendicular bisector theorem?
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 :))
What does a perpendicular bisector do?
A perpendicular bisector [for a given line segment] is a line that meets it at 90 degrees and divides it into two halves.
Why does a line segment have only one perpendicular bisector?
A line segment has only one perpendicular bisector because the bisector is defined as a line that divides the segment into two equal parts at a right angle. For any given line segment, there is a unique midpoint where the segment can be divided, and the perpendicular line drawn through this point will always intersect the segment at a 90-degree angle. Since the properties of Euclidean geometry dictate that a line can only intersect another line at one point, this results in a single perpendicular bisector for the segment.
What is the difference between a perpendicular bisector and a angle bisector?
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.
What is a perpendicular bisector of a line segment?
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
What is a line that is perpendicular to the line segment intersecting the line segment at its midpoint?
perpendicular bisector
What is a line perpendicular to a segment at the segment's midpoint?
It's called a perpendicular bisector of the line segment.
What of a segment is a line segment or ray that is perpendicular to a segment at its midpoint?
Perpendicular Bisector
what is true about the creased bisector and the line segment that is bisected?
The bisector and the line segment are perpendicular to each other.
What is the perpendicular bisector equation to the line segment of -1 -6 and 5 -8?
Points: (-1, -6) and (5, -8) Midpoint: (2, -7) Perpendicular slope: 3 Perpendicular bisector equation: y = 3x -13
What is the converse of the perpendicular bisector theorem?
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 :))
What is the difference between a perpendicular line and a perpendicular bisector?
A perpendicular line is one that is at right angle to another - usually to a horizontal line. A perpendicular bisector is a line which is perpendicular to the line segment joining two identified points and which divides that segment in two.
What is the perpendicular bisector equation of the line segment whose endpoints are at 2 9 and 9 2?
Endpoints: (2, 9) and (9, 2) Midpoint: (5.5, 5.5) Slope of line segment: -1 Perpendicular slope: 1 Perpendicular bisector equation: y-5.5 = 1(x-5.5) => y = x
What does a perpendicular bisector do?
A perpendicular bisector [for a given line segment] is a line that meets it at 90 degrees and divides it into two halves.
Why does a line segment have only one perpendicular bisector?
A line segment has only one perpendicular bisector because the bisector is defined as a line that divides the segment into two equal parts at a right angle. For any given line segment, there is a unique midpoint where the segment can be divided, and the perpendicular line drawn through this point will always intersect the segment at a 90-degree angle. Since the properties of Euclidean geometry dictate that a line can only intersect another line at one point, this results in a single perpendicular bisector for the segment.
