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# Geometry 5-10 Day 2

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### Geometry 5-10 Day 2

1. 1. Do Now Solve for x and y. 5 – 6 – 09 190 ° 110 ° x y Please take out your homework from last night.
2. 2. Objective <ul><li>Today we will learn about secants! </li></ul>5 – 6 – 09
3. 3. Homework <ul><li>X = 19 </li></ul><ul><li>X = 25 </li></ul><ul><li>X = 12 </li></ul><ul><li>X = 20 </li></ul><ul><li>X = 12 </li></ul>5 – 6 – 09
4. 4. What is a secant? <ul><li>A secant is any line that intersects a circle at 2 points. </li></ul><ul><li>A secant angle is an angle created by two secants of the same circle. </li></ul>5 – 6 – 09 A B C D E
5. 5. A B C D E
6. 6. Theorem 5.13 Secant Angles INSIDE of Circles 5 – 6 – 09
7. 7. Using Theorem 5.13 <ul><li>< ACD = ½ (140 + 110) </li></ul>5 – 6 – 09 110 ° 140 ° A B C D E
8. 8. Theorem 5.14 Secant Angles OUTSIDE of Circles 5 – 6 – 09
9. 9. Using Theorem 5.14 A B C D E <ul><li><ACD = ½ (110 – 30) </li></ul>30 ° 110 °
10. 10. Recap <ul><li>If the secant angle is inside the circle… </li></ul><ul><li>If the secant angle is outside the circle… </li></ul>