# 5-1 - and Angle Bisectors 5-1 5-1Perpendicular...

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Holt Geometry 5-1 Perpendicular and Angle Bisectors 5-1 Perpendicular and Angle Bisectors Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz

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Holt Geometry 5-1 Perpendicular and Angle Bisectors Warm Up Construct each of the following. 1. A perpendicular bisector. 2. An angle bisector. 3. Find the midpoint and slope of the segment (2, 8) and (–4, 6).
Holt Geometry 5-1 Perpendicular and Angle Bisectors Prove and apply theorems about perpendicular bisectors. Prove and apply theorems about angle bisectors. Objectives

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Holt Geometry 5-1 Perpendicular and Angle Bisectors equidistant locus Vocabulary
Holt Geometry 5-1 Perpendicular and Angle Bisectors When a point is the same distance from two or more objects, the point is said to be equidistant from the objects. Triangle congruence theorems can be used to prove theorems about equidistant points.

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Holt Geometry 5-1 Perpendicular and Angle Bisectors
Holt Geometry 5-1 Perpendicular and Angle Bisectors A locus is a set of points that satisfies a given condition. The perpendicular bisector of a segment can be defined as the locus of points in a plane that are equidistant from the endpoints of the segment.

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Holt Geometry 5-1 Perpendicular and Angle Bisectors Example 1A: Applying the Perpendicular Bisector Theorem and Its Converse Find each measure. MN MN = LN MN = 2.6 Bisector Thm. Substitute 2.6 for LN.
Holt Geometry 5-1 Perpendicular and Angle Bisectors Example 1B: Applying the Perpendicular Bisector Theorem and Its Converse Find each measure. BC Since AB = AC and , is the perpendicular bisector of by the Converse of the Perpendicular Bisector Theorem. BC = 2 CD BC = 2 (12) = 24 Def. of seg. bisector. Substitute 12 for CD.

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Holt Geometry 5-1 Perpendicular and Angle Bisectors Example 1C: Applying the Perpendicular Bisector Theorem and Its Converse TU Find each measure.
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