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6.5 Apply other Angle Relationships in Circles. 6.5-6.6 Quiz: MONDAY! 6.7-6.8 Quiz: Nov. 19 6.5-6.8 Test: Nov. 30 Performance Exam: Dec. 2. Vocabulary. Theorem 6.13

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6 5 apply other angle relationships in circles

6.5Apply other Angle Relationships in Circles

6.5-6.6 Quiz: MONDAY!

6.7-6.8 Quiz: Nov. 196.5-6.8 Test: Nov. 30Performance Exam: Dec. 2

vocabulary
Vocabulary
  • Theorem 6.13
    • If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed is one half the measure of its intercepted arc.
example
Example:
  • Line m is tangent to the circle. Find the indicated measure.

1) angle 1 2) arc EFD

vocabulary1
Vocabulary
  • Angles Inside the Circle
    • If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arc intercepted by the angle and its vertical angle.
example1
Example:
  • Find the value of x.
vocabulary2
Vocabulary
  • Angles Outside the Circle
    • If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.
example2
Example:
  • Find the value of x.
you try
You Try:
  • Find the measure of arc ACB
  • Find the value of y.
classwork homework
Classwork/Homework
  • P. 214-215 #1-17odd