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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

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