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# 12.3 inscribed angles

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by

Tweet## nicole melendez

on 16 September 2011#### Transcript of 12.3 inscribed angles

12.3 Inscribed Angles Inscribed angle An angle is incribed in a circle if the vertex of the

angle is on the cirlce and the sides of the angle are

chords of the circle An arc of a circle having endpoints on the sides of an

inscribed angle, and its other points in the interior of

the angle Vocabulary Intercepted arc Thm 12.9 The measure of an inscribed angle is half the

measure of its intersected arc Inscribed angle

=

1/2intercepted arc Corollaries to the

Inscribed Angle Thm 1.Two inscribed angles that intercept the same

arc are congruent

2.An angle inscribed in a semicircle is a right angle

3.The opposite angles of a quadrilateral inscribed in a circle are supplementary Thm 12.10 The measure of an angle formed by a tangent

and a chord is half the measure of the intercepted arc Inscribed angle intercepted arc Thanks to: to:http://www.geom.uiuc.edu/~dwiggins/mainpage.html#list Question 1 Question 2 Find the value of each variable 100 b 96 d c a 99 a= 101

b= 67

c= 84

d= 80 95 a c b Find the value of each variable a = 85

b = 47.5

c = 90

Full transcriptangle is on the cirlce and the sides of the angle are

chords of the circle An arc of a circle having endpoints on the sides of an

inscribed angle, and its other points in the interior of

the angle Vocabulary Intercepted arc Thm 12.9 The measure of an inscribed angle is half the

measure of its intersected arc Inscribed angle

=

1/2intercepted arc Corollaries to the

Inscribed Angle Thm 1.Two inscribed angles that intercept the same

arc are congruent

2.An angle inscribed in a semicircle is a right angle

3.The opposite angles of a quadrilateral inscribed in a circle are supplementary Thm 12.10 The measure of an angle formed by a tangent

and a chord is half the measure of the intercepted arc Inscribed angle intercepted arc Thanks to: to:http://www.geom.uiuc.edu/~dwiggins/mainpage.html#list Question 1 Question 2 Find the value of each variable 100 b 96 d c a 99 a= 101

b= 67

c= 84

d= 80 95 a c b Find the value of each variable a = 85

b = 47.5

c = 90