A O 14. Identify the Perpendicular Bisector Theorem. If a line segment intersects another line segment and splits it evenly into two parts, then the line segment is a bisector. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. If a line segment intersects another line segment at a 90° angle, then the line segments are perpendicular. If a point is equidistant from the endpoints of the segment, then it is the perpendicular bisector of a segment.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
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Identify the Perpendicular Bisector Theorem.
14. Identify the Perpendicular Bisector Theorem.
If a line segment intersects another line segment and splits it evenly into two parts, then the line segment is a bisector.
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
If a line segment intersects another line segment at a 90° angle, then the line segments are perpendicular.
If a point is equidistant from the endpoints of the segment, then it is the perpendicular bisector of a segment.
Transcribed Image Text:14. Identify the Perpendicular Bisector Theorem. If a line segment intersects another line segment and splits it evenly into two parts, then the line segment is a bisector. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. If a line segment intersects another line segment at a 90° angle, then the line segments are perpendicular. If a point is equidistant from the endpoints of the segment, then it is the perpendicular bisector of a segment.
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