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# Geometry/Notes 10.5

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### Geometry/Notes 10.5

1. 1. SECTION 10.5Tangents
2. 2. TANGENTS How can I use the properties of tangents to solve problems?
3. 3. TANGENT Tangent: A line that intersects the circle in exactly 1 point.
4. 4. THEOREM Theorem 10.9: If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.
5. 5. THEOREM Theorem 10.10: If a line is perpendicular to a radius of a circle, then the line is tangent to the circle.
6. 6. THEOREM Theorem 10.11: If two segments from the same exterior point are tangent to a circle, then they are congruent.
7. 7. EXAMPLE 20 y
8. 8. EXAMPLE
9. 9. EXAMPLE
10. 10. EXAMPLE
11. 11. EXAMPLE Find x. Assume that segments that appear tangent to circle are tangent.
12. 12. EXAMPLE Find a. Assume that segments that appear tangent to circle are tangent.
13. 13. CIRCUMSCRIBED POLYGONS Circumscribed Polygon: When a circle is inside a polygon and every side of the polygon is tangent to the circle. Which one?
14. 14. EXAMPLE
15. 15. HOMEWORK Page 556  #8 – 28 Even, skip 22  38, 40
16. 16. LESSON PLAN Intro  Define a tangent and its relationship to a circle’s radius Standards- 9.5 Supplies – slides, whiteboard, note sheets Timing: One day for notes, one day for a combined review of 10.5 and 10.6 and a quiz. Day 1:  Essential Questions- slides 2  Input-slides 3 - 6, 13  Guided Practice - slides 7 – 12, 14, 15  Independent Practice – Book Work