bisectors in triangles section 5-2. perpendicular bisector a perpendicular tells us two things –...
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![Page 1: Bisectors in Triangles Section 5-2. Perpendicular Bisector A perpendicular tells us two things – It creates a 90 angle with the segment it intersects](https://reader036.vdocuments.net/reader036/viewer/2022082713/5697c01f1a28abf838cd1dcb/html5/thumbnails/1.jpg)
Bisectors in Triangles
Section 5-2
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Perpendicular Bisector
• A perpendicular tells us two things– It creates a 90 angle with the segment it intersects– The segment it intersects, the perpendicular
bisectors crosses the midpoint– Also any angle it intersects it cuts the angle in half
• What is a perpendicular bisector?
5-1a.gsp
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Perpendicular Bisector Theorem
• If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment
5-2.gsp
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Converse of the Perpendicular Bisector
• If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment
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Distance from a point to a line
• It is the length of the perpendicular segment from the point to the line
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Angle Bisector Theorem
• If a point is on the bisector of an angle, then the point is equidistant from the sides of an angle
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Converse of the Angle Bisector Theorem
• If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.