10-7 Special Segments in a Circle

1. 10-7 Special Segments in a Circle Ms. Andrejko

2. Vocabulary • When two chords intersect inside a circle, each chord is divided into two segments called chord segments • Secant Segment- a segment of a secant line that has exactly one endpoint on the circle • External Secant Segment- secant segment that lies in the outside of the circle • Tangent Segment- segment tangent on with one endpoint on the circle, that lies on the exterior of the circle

3. Theorem • T 10.15- If 2 chords intersect in a circle, then the products of one of the lengths of the chord segments are equal • T 10.16- If 2 secants intersect in the exterior of a circle, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant and its external secant segment

4. Last Theorem! • T 10.17- If a tangent and a secant intersect in the exterior of a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment

5. Recall… FACTORING • 1. x2+5x-6 = 0 • 2. x2-16 = 0 • 3. x2-5x-13 = 0

6. PRACTICE --- Recall… FACTORING • 1. x2+6x+8 = 0 • 2. x2-9 = 0 • 3. x2-2x-7 = 0

7. Examples

8. Practice

9. Examples

10. Practice

11. Examples

12. PRACTICE