10.4: Angles formed by Secants and Tangents

1. 10.4: Angles formed by Secants and Tangents Obj: ______________________ __________________________

2. Vertex is ON the circle • 1) 2)

3. Vertex is INSIDE the circle • 1)

4. Vertex is OUTSIDE the circle • 1) 2) 3)

6. Theorem • If a tangent and a secant (or a chord) intersect on a circle at the point of tangency, then the measure of the angle formed is __________ the measure of its intercepted arc.

7. Ex:

8. Theorem • The measure of an angle formed by two secants or chords intersecting in the interior of a circle is _______________ the ______________ of the measures of the intercepted arcs.

10. The measure of an angle formed by two secants in the exterior of a circle is __________ the measures of the intercepted arcs.

12. The measure of a secant-tangent angle with its vertex outside the circle is ____________ _____________________________________

14. The measure of a tangent-tangent angle with • its vertex outside the circle is ____________ • _____________________________________