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

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Presentation on theme: "Secants, Tangents, & Angle Measures Section 10-6."— Presentation transcript:

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

2 secant – a line that intersects a circle in exactly 2 points. A secant of a circle contains a chord of the circle.

3 Theorem 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.

4 60 o 120 o

5 Theorem 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 and its vertical angle.

6 40 o 60 o 50 o

7 Theorem 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 ½ the positive difference of the measures of the intercepted arc.

8 140 o 30 o 55 o

9 Joke Time What is an insect that’s not feeling well? Secant (sick ant)

10 Who was a famous person that was not very healthy? “I sick” Newton


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