1. Geometry Lesson: 10 – 5 Tangents Objective:
Use properties of tangents.
Solve problems involving circumscribed polygons.

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Tangents
A line that is in the same plane as a circle that intersects the circle in exactly one point.

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Common Tangent
A line, ray, or segment that is tangent to two circles in the same plane.

4. Copy each figure and draw the common tangents
Copy each figure and draw the common tangents. If no common tangent exists, state no common tangent.

5. Copy each figure and draw the common tangents
Copy each figure and draw the common tangents. If no common tangent exists, state no common tangent.

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Theorem 10.10

7. therefore segment KL is a tangent.
Forms a right angle,
therefore segment KL is a tangent.

8. Not a tangent.

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Use FOIL!

11. Theorem 10.11
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13. Circumscribed Polygons
A polygon is circumscribed about a circle if every side of the polygon is tangent to the circle.

14. Perimeter =
= 36 ft 8 3 3 7

15. Homework
Pg – 26 E, 44 – 54 E