Tangents May 29, 2008. Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point.

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Presentation transcript:

Tangents May 29, 2008

Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

More about properties of tangents Corollary: Tangents to a circle from a point are congruent.

Even more about properties of tangents Theorem: If a line in the plane of a circle is perpendicular to a radius at its outer endpoint, then the line is tangent to the circle.

Inscribed and circumscribed, revisted You can also inscribe a circle.

Internal tangent A common internal tangent intersects the segment joining the centers.

External tangent An external tangent does not intersect the segment joining the centers.

Internal or External?

Find the values