Please get your warm up off the back table

The Bigger Circle Puzzle

Today’s agenda

● Warm up

● Folders/progress reports

● Grade homework

● Lecture/notes

● Work time

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

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

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

Your assignment

♥Pg 585; 11-32