10-6 Secants, Tangents, and Angle Measures

# 10-6 Secants, Tangents, and Angle Measures - and its...

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Secants, Tangents, & Secants, Tangents, & Angle Measures Angle Measures Section 10-6

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secant – a line that intersects a circle in exactly 2 points. A secant of a circle contains a chord of the circle.
Theorem 10.13 Theorem 10.13 If a secant and a tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc.

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60 o 120 o
Theorem 10.12 Theorem 10.12 If 2 secants intersect in the interior of a circle, then the measure of an angle formed is ½ the sum of the measures of the arcs intercepted by the angle

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Unformatted text preview: and its vertical angle. 40 o 60 o 50 o o o o 50 2 60 40 = + Theorem 10.14 Theorem 10.14 If 2 secants, a secant and a tangent, or 2 tangents intersect in the exterior of a circle, then the measure of the angle formed is the positive difference of the measures of the intercepted arc. 140 o 30 o 55 o o o o 55 2 30 140 =-Joke Time Joke Time What is an insect thats not feeling well? Secant (sick ant) Who was a famous person that was not very healthy? I sick Newton...
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## This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

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10-6 Secants, Tangents, and Angle Measures - and its...

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