Definition: Tangent A tangent is a line in the plane of a circle that intersects the circle in exactly one point.
Tangent Radius Theorem If a radius is drawn to the point of contact then the tangent is perpendicular to the radius. If is tangent to circle P, then
Two Tangent Theorem If two tangent segments are drawn to a circle from an external point, then those segments are congruent. If are tangent and share point S as an endpoint, then
Example 1 Find x. Assume that all segments that appear to be tangent are tangent. CD = 8, CE = 5 Decide which angle must be the right angle and set up Pythagorean Theorem must be the right angle so
Ex. 2 Find x. Assume that segments that appear to be tangent are tangent.
Ex 3 Assume that all segments that appear to be tangent are tangent. Find ST.
Ex 4 Is tangent to the circle? Why or why not?
Ex 5 Find the perimeter of the polygon given that all sides that appear to be tangent are tangent.