1 / 10

Clock Angle at 11:24, Angle Bisector, Trisection, Midpoint

Learn how to determine the angle formed by the hands of a clock at 11:24 without a protractor. Explore concepts of angle bisectors, trisection, and midpoints.

wendellk
Download Presentation

Clock Angle at 11:24, Angle Bisector, Trisection, Midpoint

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. WARM UP! 1. Without using a protractor, determine the angle formed by the hands of a clock at 11:24. 164 2. Given: <WTV = 80 <STW = 40 Prove: <STV is obtuse

  2. 1.5 Division of Segments and Angles Bisection: a point (segment, ray or line) that divides a SEGMENT into two congruent segments BISECTS the segment. Midpoint: point where a line segment is bisected into 2 congruent parts.(line has to be collinear!)

  3. If OK = KP what conclusions can you make? M O K P J Conclusions: K is the midpoint of OP JM is a bisector of OP Point K bisects OP

  4. Trisected: Three congruent parts Trisection points: the two points at which the segment is divided into three equal parts. H Conclusions: DE = EF = FG HE and HF trisect DG E D F G

  5. Angle Bisector: A ray that divides an angle into two congruent angles is an angle bisector. bi means two If <ABC = <CBD, then BC is the bisector of <ABD A C D B

  6. Draw AB and AC so that each bisect <DAE Example 1: D B C A E Example 2: B E D A C

  7. R T S If RS = ST is S the midpoint? NO! Not collinear!

  8. If B & C trisect AD, do EB & EC trisect <AED? A E B C D Not necessarily! Only if ADE is isosceles.

  9. Given: DH = HF Prove: H is midpoint of DF G F H D E StatementReason DH = HF 1. Given H is midpoint 2. Def: if a point divides a segment into 2 = segments, it is the midpoint.

  10. Given: KO bisects <JKM <JKM = 41 37’ Find m<OKM Draw and label what you know! J O m<OKM = ½ m<JKM K M = ½ (41 37’) = 20½  18½ ’ = 20 48’ 30”

More Related