Warm-Up Find the area and circumference of a circle with radius r = 4.

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Presentation transcript:

Warm-Up Find the area and circumference of a circle with radius r = 4.

Geometry 11-1 Lines of Circles

Definitions

Example Identify each line or segment that intersects  P. chords: secant: tangent: diameter: radii: QR and ST ST PQ, PT, and PS UV ST

Definition

A common tangent is a line that is tangent to two circles.

Theorem 1 If a line is tangent to a circle, then it is perpendicular to the radius. A m m is perpendicular to AB B

Theorem 2 If two segments are tangent to a circle from the same external point, then the segments are congruent.

Example RS and RT are tangent to  Q. Find RS.