Geometry ! Geometry Geometry Chapter 10 - Properties of Circles Geometry Geometry Geometry Chapter 10 - Properties of Circles Chapter 10 Properties of Circles Section Apply Other Angle Relationships in Circles Chapter10.5 10 - -Properties of Circles Chapter 10 Properties of Circles Section 10.5 Apply Other Angle in Circles Chapter 10 Properties of Circles Section 10.5 Other Angle Relationships in Circles SectionSection 10.5- Apply - 10.5 Apply Other Angle Relationships inRelationships Circles Apply Other Angle Relationships in Circles Section 10.5 - Apply Other Angle Relationships in Circles ! What the student should get from this: Whatget the student should get from this: What the student should from this: 1. Find thestudent measure ofFind angles formed by lines that intersect What the should get from this: 1. the measure of this: angles formed bycircles linescircles that intersect circles What the student should get from 1. Findthe thestudent measureshould of angles formed by lines that intersect What get from this: 2. Use angle measures to solve problems 2. Use angle measures to solve problems 1. Use Find1. the measure of angles formed by lines thatthat intersect circles Find the measure of angles formed by lines intersect circles 2. angle measures solve problems 1. measure oftoangles by lines that intersect circles Use angle measures toformed solve problems 2. Find Use2.the angle measures to solve problems 2. Use problems First wesolve needof tothings... know a couple of things... First weangle needtomeasures toknow know a to couple First we need a couple of things... ! First we need to know a couple of things... First we need to know a couple of things... Whatʼs a tangent? First weaaneed to know a couple of things... Whatʼs tangent? Whatʼs tangent? a tangent? WhatʼsWhatʼs a tangent? Whatʼs a chord? Whatʼs tangent? Whatʼsaaachord? chord? Whatʼs Whatʼs a chord? Whatʼs a secant? Whatʼs a chord? Whatʼs chord? Whatʼs Whatʼsaaasecant? secant? Whatʼs a secant? Whatʼs a secant? Whatʼs a secant? Draw each! Draw Draweach! each! Draw each! Draw each! !! ! ! ! !!!!!!! ! Draw each! ! The next thing to think about... ! The next thing to think about... When a secant and a tangent intersect at the point of tangency, the angle formed is 1/2 Thething nextto thing to about... think about... The next think the measure of the intercepted arc. (like an inscribed angle)
The next thingand to think about... When a secant a tangent intersect at the point of tangency, the angle formed is 1/2 When a secant and a tangent intersect at point the point of tangency, angleformed formedisis1/2 1/2 The next thing to think about... the measure of the intercepted (like anatinscribed angle) When a secant and a tangentarc. intersect the of tangency, thethe angle Example: B G ! the measure of the intercepted arc. (like an inscribed angle)
measure of the arc. (likeatan angle) When a secant andintercepted a tangent intersect theinscribed point of tangency, the angle formed is 1/2 ! the B G Example: When a secant and a tangent intersect at the point of tangency, the angle formed is 1/2 the measure of the intercepted arc. (like an inscribed angle) B G Example: the measure of the intercepted arc.B(like an inscribed G angle) Example: B G Example: Example: B G
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