11-5 Angle Relationships in Circles 11-5 Angle Relationships in ...
11-5 Angle Relationships in Circles 11-5 Angle Relationships in ...
11-5 Angle Relationships in Circles 11-5 Angle Relationships in ...
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<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Warm Up<br />
Lesson Presentation<br />
Lesson Quiz<br />
Holt McDougal Geometry<br />
Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Objectives<br />
F<strong>in</strong>d the measures of angles formed by l<strong>in</strong>es<br />
that <strong>in</strong>tersect circles.<br />
Use angle measures to solve problems.<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
F<strong>in</strong>d each measure.<br />
mEFH<br />
Example 1A: Us<strong>in</strong>g Tangent-Secant and<br />
Tangent-Chord <strong>Angle</strong>s<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
F<strong>in</strong>d each measure.<br />
mSTU<br />
Check It Out! Example 1a<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Example 2: F<strong>in</strong>d<strong>in</strong>g <strong>Angle</strong> Measures Inside<br />
a Circle<br />
F<strong>in</strong>d each measure.<br />
mAEB<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Check It Out! Example 2a<br />
F<strong>in</strong>d each angle measure.<br />
mABD<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Example 3: F<strong>in</strong>d<strong>in</strong>g Measures Us<strong>in</strong>g<br />
Tangents and Secants<br />
F<strong>in</strong>d the value of x.<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
F<strong>in</strong>d the value of x.<br />
Check It Out! Example 3<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Check It Out! Example 4<br />
Two of the six muscles that control eye<br />
movement are attached to the eyeball and<br />
<strong>in</strong>tersect beh<strong>in</strong>d the eye. If mAEB = 225, what<br />
is mACB?<br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Holt McDougal Geometry
<strong>11</strong>-5 <strong>Angle</strong> <strong>Relationships</strong> <strong>in</strong> <strong>Circles</strong><br />
Lesson Quiz: Part I<br />
F<strong>in</strong>d each measure.<br />
1. mFGJ<br />
2. mHJK<br />
Holt McDougal Geometry