Please get your warm up off the back table The Bigger Circle Puzzle.
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Transcript of Please get your warm up off the back table The Bigger Circle Puzzle.
![Page 1: Please get your warm up off the back table The Bigger Circle Puzzle.](https://reader036.fdocuments.us/reader036/viewer/2022082506/56649e725503460f94b7087e/html5/thumbnails/1.jpg)
Please get your warm up off the back table
The Bigger Circle Puzzle
![Page 2: Please get your warm up off the back table The Bigger Circle Puzzle.](https://reader036.fdocuments.us/reader036/viewer/2022082506/56649e725503460f94b7087e/html5/thumbnails/2.jpg)
Today’s agenda
● Warm up
● Folders/progress reports
● Grade homework
● Lecture/notes
● Work time
![Page 3: Please get your warm up off the back table The Bigger Circle Puzzle.](https://reader036.fdocuments.us/reader036/viewer/2022082506/56649e725503460f94b7087e/html5/thumbnails/3.jpg)
Inscribed Angle• An angle whose vertex is on a circle and
whose sides are chords of the circle.A
C
V
P
Inscribed Angle Theorem
The measure of an inscribed angle is ½ the measure of the intercepted arc.
Measure of arc AC = 80°
mAVC = ?? 40°
AVC is an inscribed angle
![Page 4: Please get your warm up off the back table The Bigger Circle Puzzle.](https://reader036.fdocuments.us/reader036/viewer/2022082506/56649e725503460f94b7087e/html5/thumbnails/4.jpg)
Right Angle Corollary
• If a side of an inscribed triangle is a diameter, then the opposite angle is a right angle.
The intercepted arc (major arc ADC)
is 180° so B has to be ½ that,
which is 90°
C
A
B
D
![Page 5: Please get your warm up off the back table The Bigger Circle Puzzle.](https://reader036.fdocuments.us/reader036/viewer/2022082506/56649e725503460f94b7087e/html5/thumbnails/5.jpg)
Arc Intercept Corollary
• If 2 inscribed angles intercept the same arc, they have the same measure.
A
C
B
D
X
mA = mX
Measure of arc CB = measure of arc CB
![Page 6: Please get your warm up off the back table The Bigger Circle Puzzle.](https://reader036.fdocuments.us/reader036/viewer/2022082506/56649e725503460f94b7087e/html5/thumbnails/6.jpg)
Your assignment
♥Pg 585; 11-32