10.3 Inscribed Angles

# 10.3 Inscribed Angles - 10.3 Inscribed angles Pg 613...

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10.3 Inscribed angles Pg 613

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Definitions Inscribed angle- an whose vertex is on a circle and whose sides contain chords of the circle. Intercepted arc- the arc that lies in the interior of the inscribed angle and has its endpts on the angle A B C D BD ( BCD
Thm 10.8 measure of an inscribed If an is inscribed in a circle, then its measure is ½ the measure of its intercepted arc. m BAC= ½ m BC A B C (

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Example Example A B C D E m AED= ? ( 180 o
Example Example A C B D 196 o m ABD = ? 98 o

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Example Example A B C D 70 o m AD = ? ( 140 o 7x o x = ? 70 = ½ 7x Or 7x = 140 x=20
Thm 10.9 If two inscribed angles of a circle intercept the same arc, then the s are 2245 . W Y C X Z W 2245 Y

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Inscribed Inscribed Polygon Polygon Polygon with ALL A B C D ABCD is inscribed in the circle. Circumscribed Circle – the circle around the inscribed polygon.
Thm 10.10 Thm 10.10 If a rt. Δ is inscribed in a circle, then the hypotenuse is a diameter of the circle.

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10.3 Inscribed Angles - 10.3 Inscribed angles Pg 613...

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