segments of tangents secants and chords
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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
Segments Formed by Tangents

Theorem

  • If two segments are tangent to a circle from the same external point, then the segments are congruent
slide4

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)
slide6

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)
slide8

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.
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