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

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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.


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

on the perpendicular bisector 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.


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 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.


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.


What statement describes the points on the perpendicular bisector?

The points on the perpendicular bisector of a segment are equidistant from the segment's endpoints. This means that if you take any point on the perpendicular bisector, it will be the same distance from both endpoints of the segment. Additionally, the perpendicular bisector is a line that divides the segment into two equal parts at a right angle.


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

true


What is every point in a plane that is equidistant from the endpoints of a segment?

Every point in a plane that is equidistant from the endpoints of a segment lies on the perpendicular bisector of that segment. The perpendicular bisector is a line that is perpendicular to the segment and passes through its midpoint. Therefore, any point on this line will maintain equal distances to both 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.?

Yes, a point located on the perpendicular bisector of a segment is equidistant from the endpoints of that segment. This is because the perpendicular bisector is defined as a line that divides the segment into two equal halves at a right angle, ensuring that any point on this line is the same distance from both endpoints. Therefore, by definition, such points maintain equal distances to the endpoints of the segment.