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Notice anything cool?1. Draw a
diameter.2. Put 3 more
points anywhere on the circle.
3. Make triangles.
What is the measure of all the inscribed angles when they are connected to a diameter? ______
Measure of an Inscribed Angle
The measure of an inscribed angle is ____ the measure of its intercepted arc.
yx
55H I
J
Theorem If two inscribed angles of a circle intercept
the same arc, then the angles are _____.
120
yx
Theorem A quad that is inscribed in a circle (called a
“cyclic quad”) has opposite angles that are ___________________.
58
pq
Tangent-Chord If a tangent and a chord intersect at a point on a
circle, then the measure of each angle formed is __________ the measure of its intercepted arc.
12
B
A
CIf <1=60⁰, then arc AB=______
(different problem)
If arc ACB=256⁰, then <2=_______.