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10-5 Tangents N#____ 4/16/2014

10-5 Tangents N#____ 4/16/2014. SLG : Students will be able to use the properties of tangents and solve problems involving circumscribed polygons. . Tangent – A line in the same plane as a circle that intersects the circle in exactly one point. That point is called the point of tangency.

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10-5 Tangents N#____ 4/16/2014

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  1. 10-5 TangentsN#____ 4/16/2014 SLG : Students will be able to use the properties of tangents and solve problems involving circumscribed polygons.

  2. Tangent – A line in the same plane as a circle that intersects the circle in exactly one point. That point is called the point of tangency. C A B F Common Tangent – A line in the same plane as 2 circles that intersects both circles in exactly one point. D E G J H In a plane, a line is tangent to a circle if and only if it is perpendicular to a radius drawn to the point of tangency. I D L If 2 segments from the same exterior point are tangent to a circle, then they are congruent. K O M

  3. Draw all common tangents. E1 E2 E3 Determine if each segment on the outside of each circle is a tangent. 5 E4 E5 8 9 6 8 15

  4. The line outside of each circle is a tangent. Find the value of x. The lines outside of each circle are tangent. Find the value of x. 2 E8 E9 E6 E7 4 x 17 4x-3 x x+15 14 3x+2 2x-5 Use the circumscribed polygons to find the missing measures. A 8ft A x E11 E10 B H D 3 F C G 7ft F 7 D C B E x E 10ft The perimeter is 36 m. Find the perimeter.

  5. A#____ 4/16/2014 SPWS 10-5

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