5.1 Perps &amp; bisectors

# 5.1 Perps &amp;amp; bisectors - AB 3. Seg AM 2245 seg BM 4....

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5.1 Perpendiculars and Bisectors Pg 264

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Bisector 2200 bisector –a line, seg,ray or plane that is to a segment at its midpoint. A pt is equidistant from 2 pts if it is the same distance from each pt. (don’t have to all be collinear) l M A B __ _
Thm 5.1 bisector thm If a pt is on the bisector of a segment then it is equidistant from the endpts of the segment. A C D M B If l is the bisector of seg AB then CA=CB (and DA=DB) l

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Thm 5.2 Converse of the bisector thm If a pt is equidistant from the endpts of a segment then it is on the bisector A B A M B C If CA=CB then C is on the bisector of AB
Given: l is the bisector Prove: ACM 2245 BCM A B A M B C l

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Proof Statements 1. l is the bisector 2. M is the midpt of seg

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Unformatted text preview: AB 3. Seg AM 2245 seg BM 4. Seg AC 2245 seg BC 5. Seg CM 2245 seg CM 6. ACM 2245 BCM Reasons 1. given 2. Def of bisector 3. Def of a midpt 4. bisector thm 5. Reflex prop of seg 2245 6. SSS Distance from a pt to a line Distance from a pt to a line- the length of the seg from the pt to the line. PD=distance from P to line l P D l Thm 5.3 bisector thm If a pt is on the bisector of an then it is equidistant from the sides of the . ) O D G A Thm 5.4 converse of the bisector If a pt is in the interior of an and is equidistant from the sides then it is on the bisector. Assignment Assignment...
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## 5.1 Perps &amp;amp; bisectors - AB 3. Seg AM 2245 seg BM 4....

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