Please get your warm up off the back table The Bigger Circle Puzzle

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Please get your warm up off the back tableThe
Bigger Circle Puzzle
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Todays agenda

• Warm up
• Folders/progress reports
• Grade homework
• Lecture/notes
• Work time

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Inscribed Angle

• An angle whose vertex is on a circle and whose
  sides are chords of the circle.

Inscribed Angle Theorem The measure of an
inscribed angle is ½ the measure of the
intercepted arc.
Measure of arc AC 80 m?AVC ??
?AVC is an inscribed angle
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Right Angle Corollary

• If a side of an inscribed triangle is a diameter,
  then the opposite angle is a right angle.

D
The intercepted arc (major arc ADC) is 180 so
?B has to be ½ that, which is 90
A
C
B
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Arc Intercept Corollary

• If 2 inscribed angles intercept the same arc,
  they have the same measure.

X
A
B
D
m?A m?X
Measure of arc CB measure of arc CB
C
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Your assignment

• Pg 585 11-32