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The distance will be length of the line divided by 2 because the perpendicular bisector cuts through the line at its centre and at right angles

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Are any points on the perpendicular bisector of a segment equally distant from the 2 endpoints?

All of the points on a perpendicular bisector are equidistant from the endpoints of the segment.


What is the perpendicluar bisector therom?

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.


How do you write the converse of perpendicular bisector theorem easier to understand?

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.


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 are all the characteristics of a perpendicular bisector?

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle. It has two key characteristics: it is equidistant from the endpoints of the segment it bisects, meaning any point on the bisector is the same distance from both endpoints, and it intersects the segment at its midpoint. Additionally, the slope of the perpendicular bisector is the negative reciprocal of the slope of the original segment.

Related Questions

If a point is equidistant from the endpoints of the segment then it is?

on the perpendicular bisector of the segment.


Are any points on the perpendicular bisector of a segment equally distant from the 2 endpoints?

All of the points on a perpendicular bisector are equidistant from the endpoints of the segment.


What is the perpendicular bisector theorem?

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.


If a point is equidistant from the endpoints of a segment then it is on?

on the perpendicular bisector of the segment.


If a point on the perpendicular bisector of a segment, then it is?

Equidistant from the endpoints of the segment.


If a point is on the perpendicular bisector of a segment?

then it is equidistant from the endpoints of the segment- apex


How do you write the converse of perpendicular bisector theorem easier to understand?

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.


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.


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 :))


If a point lies on the perpendicular bisector of a segment then the point is always equidistant from the endpoints of the segment?

true


is this statement true or falseA perpendicular bisector is the set of points that are equidistant from the endpoints of the bisected segment.?

true


Which equation is the perpendicular bisector of the line segment with endpoints -2 4 and 6 8?

Endpoints: (-2, 4) and (6, 8) Slope: 1/2 Perpendicular slope: -2 Midpoint: (2, 6) Perpendicular bisector equation: y = -2x+10