Segments of Tangents, Secants and Chords

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Segments of Tangents, Secants and Chords - PowerPoint PPT Presentation

Segments of Tangents, Secants and Chords. Segments Formed by Tangents. Theorem If two segments are tangent to a circle from the same external point, then the segments are congruent. Segments Formed by Secants. Theorem

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Segments Formed by Tangents

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)

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.