An external segment is the part of a secant segment that is External segment __________________ the circle. Theorem 10.14: Segments of Chords Theorem If two chords intersect in the ________________ of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. ________ = ________ EA EC • • OR…… _____ = _____ _____ _____• • Ex 1: Find x, and ML JK. Theorem 10.15: Segments of Secants Theorem If two secant segments share the same endpoint _______________ a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. (Whole secant segment outside segment) = (Whole secant segment outside segment) • • ____ = ____ EA EC • • Ex 2: Find the value of x and RT. Ex 3: Find EB and ED Theorem 10.16: Segments of Secants and Tangents Theorem: If a secant segment and a tangent segment share an ____________ ____________a circle, then the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment. (Tangent segment) 2 = (Whole secant segment outside segment) •
External segment An external segment is the part of a secant segment that is __________________ the circle. Theorem 10.14: Segments of Chords Theorem If two chords intersect in the ________________ of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. EA • ________ = EC • ________ OR…… _____ • _____ = _____• _____ Ex 1: Find x, ML and JK. Theorem 10.15: Segments of Secants Theorem If two secant segments share the same endpoint _______________ a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment. (Whole secant segment • outside segment) = (Whole secant segment • outside segment) EA • ____ = EC • ____ Ex 2: Find the value of x and RT. Ex 3: Find EB and ED Theorem 10.16: Segments of Secants and Tangents Theorem: If a secant segment and a tangent segment share an ____________ ____________a circle, then the product of the lengths of the secant segment and its external segment equals the square of the length of the tangent segment. (Tangent segment) 2 = (Whole secant segment • outside segment)
bi_honors_geo_10.docx