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5.1 Perpendiculars and Bisectors

5.1 Perpendiculars and Bisectors. Pg 264.  Bisector. l.  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). __. A. _. B. M. Thm 5.1  bisector thm.

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5.1 Perpendiculars and Bisectors

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  1. 5.1 Perpendiculars and Bisectors Pg 264

  2. Bisector l •  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) __ A _ B M

  3. 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. C l B A M If l is the  bisector of seg AB then CA=CB (and DA=DB) D

  4. Thm 5.2Converse of the  bisector thm • If a pt is equidistant from the endpts of a segment then it is on the  bisector C M B A If CA=CB then C is on the  bisector of AB

  5. 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 l D

  6. Thm 5.3 bisector thm • If a pt is on the bisector of an  then it is equidistant from the sides of the . D A ) O ) G

  7. Thm 5.4converse of the  bisector • If a pt is in the interior of an  and is equidistant from the sides then it is on the  bisector.

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