Chapter 12.3 Inscribed Angles

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Chapter 12.3 Inscribed Angles
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Vocabulary
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Theorem 12.9 Inscribed Angle Theorem

• The measure of an inscribed angle is half the
  measure of its intercepted arc

C
A
B
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Example 1
Find X
X
138
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Corollaries to the Inscribed Angle Theorem

• 1) Two inscribed angles that intercept the same
  arc are congruent
• 2) An angle inscribed in a semicircle is a right
  angle
• 3) The opposite angles of a quadrilateral
  inscribed in a circle are supplementary

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Theorem 12.10

• The measure of an angle formed by a tangent and a
  chord is half the measure of the intercepted arc

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Example 2
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Classwork

• Pgs 681-682 1-22