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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.

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Q: What is the converse of the perpendicular bisector theorem?
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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.


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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.


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Does the Converse of the Angle Bisector Theorem apply if the point is in the exterior of the angle?

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What is the converse of the angle bisector theorem?

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex


What bisects an angle?

The Angle Bisector Theorem states that given triangle and angle bisector AD, where D is on side BC, then . Likewise, the converse is also true. Not sure if this is what you want?


What is the difference between and angle bisector and a perpendicular bisector?

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If a point is equidistant from the two sides of an angle then it is?

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