11-4 Inscribed Angles 11-4 Inscribed Angles
11-4 Inscribed Angles 11-4 Inscribed Angles
11-4 Inscribed Angles 11-4 Inscribed Angles
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<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Warm Up<br />
Lesson Presentation<br />
Lesson Quiz<br />
Holt McDougal Geometry<br />
Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Objectives<br />
Find the measure of an inscribed angle.<br />
Use inscribed angles and their<br />
properties to solve problems.<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
inscribed angle<br />
intercepted arc<br />
subtend<br />
Vocabulary<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
An inscribed angle is an angle whose vertex is<br />
on a circle and whose sides contain chords of the<br />
circle. An intercepted arc consists of endpoints<br />
that lie on the sides of an inscribed angle and all<br />
the points of the circle between them. A chord or<br />
arc subtends an angle if its endpoints lie on the<br />
sides of the angle.<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Example 1A: Finding Measures of Arcs and <strong>Inscribed</strong><br />
<strong>Angles</strong><br />
Find each measure.<br />
mPRU<br />
mSP<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Check It Out! Example 1a<br />
Find each measure.<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Find mEDF.<br />
Check It Out! Example 3b<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Example 3B: Finding Angle Measures in <strong>Inscribed</strong><br />
Triangles<br />
Find mLJM.<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Check It Out! Example 3a<br />
Find z.<br />
Holt McDougal Geometry
<strong>11</strong>-4 <strong>Inscribed</strong> <strong>Angles</strong><br />
Example 3A: Finding Angle Measures in <strong>Inscribed</strong><br />
Triangles<br />
Find a.<br />
Holt McDougal Geometry
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