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Notes Use Properties of Tangents 10.1. Theorem 10.1. In a plane, a line is tangent to a circle if and only if the line is ____________ to a radius of the circle at its endpoints on the circle. Theorem 10.2. Tangent segments from a common external point are _____________.
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Theorem 10.1 In a plane, a line is tangent to a circle if and only if the line is ____________ to a radius of the circle at its endpoints on the circle.
Theorem 10.2 Tangent segments from a common external point are _____________.
Ex. 1) Identify special segments and lines Tell whether the line, ray, or segment is best described as a radius, chord, diameter, secant, or tangent of P.
Ex 2) Find lengths in circles in a coordinate plane. Use the diagram to find the given lengths • Diameter of P • Diameter of Q • Radius of P • Radius of Q
Ex 4) Verify a tangent to a circle. If is a radius of A, show is tangent to A.
Ex 5) is tangent to C at R and is tangent to C at S. Find the value of x.
Practice Problem #1 Tell whether is best described as a radius, chord, diameter, secant or Tangent. Explain.
Practice Problem #2 Use the diagram to find the radius of C and the diameter of D.
Practice Problem #4 is a radius of R. Is tangent to R?
Practice Problem #5 is tangent to C at S and is tangent to C at T. Find the value(s) of X.
