Download Mr. S. Cella Murray Avenue M.S. Name: Accelerated Geometry Date

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.