inscribed angles section 10-4. inscribed angle – an angle whose vertex is on the circle and whose...
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Inscribed Angles
Section 10-4
inscribed angle – an angle whose vertex is on the circle and whose sides each contain chords of the circle.
ADC is an inscribed arc.
A
BC
D
.angleinscribedanisABC
Inscribed Angle Thm (10.5)
If an angle is inscribed in a circle, then the measure of the angle equals ½ the measure of its intercepted arc.
70o
140o
Theorem 10.6
If 2 inscribed angles of a circle or congruent circles intercept congruent arcs or the same arc, then the angles are congruent.
A
BC
D ABCADC
Theorem 10.7
If an inscribed angle of a circle intercepts a semicircle, then the angle is a right angle.
180o
Theorem 10.8
If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.
60o
120o
Joke Time
What do you get if you take a native Alaskan and divide its circumference by its diameter?
Eskimo pi
Why did Humpty Dumpty have a great fall?
To make up for his miserable summer
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