5.1 Perps & bisectors

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

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
5.1 Perpendiculars and Bisectors Pg 264
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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 __ _
Background image of page 2
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
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 4
Given: l is the bisector Prove: ACM 2245 BCM A B A M B C l
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Proof Statements 1. l is the bisector 2. M is the midpt of seg
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Page1 / 10

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

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online