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Segments of Tangents, Secants and Chords

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Theorem

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

Segments Formed by Secants

Theorem

- If two secants intersect outside a circle, 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 x outside = whole x outside)

JI

Segments Formed by Secants

Theorem

- If a secant and a tangent intersect outside a circle, then the product of the lengths of one secant segment and its external segment equals the length of the tangent segment squared.
- (whole x outside = tangent squared)

Segments Formed by Intersecting Chords

Theorem

- If two chords intersect inside a circle, then the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.

x = 4.2