11-4 Angle Measures and Segment Lengths

11-4 Angle Measures and Segment Lengths - o 55 2 30 140...

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Angle Measures and Angle Measures and Segment Lengths Segment Lengths Section 11-4

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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 11-11 Theorem 11-11 The measure of an angle formed by two lines that: Intersect inside a circle is half the sum of the measures of the intercepted arcs. Intersect outside a circle is half the difference of the measures of the intercepted arcs.

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40 o 60 o 50 o o o o 50 2 60 40 = +
140 o 30 o 55 o o o

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Unformatted text preview: o 55 2 30 140 =-Theorem 11-2 Theorem 11-2 For a given point and circle, the product of the lengths of the two segments from the point to the circle is constant along any line through the point and circle. a d c b d c b a • = • z x a w t y b y z y w x w ) ( ) ( + = + 2 ) ( t b b a = + Joke Time Joke Time What is an insect that’s not feeling well? Secant (sick ant) Who was a famous person that was not very healthy? “I sick” Newton...
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11-4 Angle Measures and Segment Lengths - o 55 2 30 140...

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