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Name: Date: Accelerated Geometry Unit 14: Secant/Chord Proofs Inscribed Angle Theorem (IAT) If two inscribed angles of a circle intercept the same arc, then the angles are congruent. Given: Chords AC and BD Prove: A B Mr. S. Cella Murray Avenue M.S. If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal. Given: Chords AC and BD Prove: AY YC BY YD Mr. S. Cella Murray Avenue M.S. If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment. Given: Secants YB and YA Prove: YD YB YC YA Mr. S. Cella Murray Avenue M.S. If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measures of tangent segment is equal to the product of the measures of the other secant segment and its external secant segment. Given: Secant YA and Tangent YB Prove: (YB) 2 YC YA Mr. S. Cella Murray Avenue M.S.