Download 9.5 Inscribed Angles

IntGeom9.5.notebook
March 28, 2017
9.5 Inscribed Angles
Inscribed Angle: an angle whose vertex is on the circle and whose
sides contain chords of the circle.
Intercepted Arc: the arc that lies in the interior of an
inscribed angle and has endpoints on the angle.
Theorems of Inscribed Angles
The measure of the inscribed angle is 1/2 the intercepted arc.
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IntGeom9.5.notebook
March 28, 2017
If 2 inscribed angles of a circle or congruent circles intercept
congruent arcs or the same arc, then the angles are congruent.
Practice Problems:
4.
5.
6.
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IntGeom9.5.notebook
March 28, 2017
If an inscribed angle of a circle intercepts a semicircle, then the angle is
a right angle.
Therefore, the diameter is the hypotenuse of the right triangle formed by the
inscribed angle.
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IntGeom9.5.notebook
March 28, 2017
If a quadrilateral is inscribed in a circle, then its opposite angles
are supplementary.
Practice Problems:
2.
1.
3.
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IntGeom9.5.notebook
March 28, 2017
The measure of an angle formed by a chord and a tangent is equal
to half the measure of the intercepted arc.
Practice Problem:
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IntGeom9.5.notebook
March 28, 2017
Class work/ Homework:
pg. 354: 1-10 (#10: draw BC)
and pg. 355: 19-22
(Draw illustrations and show work for each)
Quiz - Thursday (9.1-9.4)
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