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Geometry Honors Section 9.5 Segments of Tangents, Secants and Chords

Geometry Honors Section 9.5 Segments of Tangents, Secants and Chords. In this section, we will be finding the lengths of segments formed when secants, tangents and/or chords intersect.

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Geometry Honors Section 9.5 Segments of Tangents, Secants and Chords

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  1. Geometry Honors Section 9.5Segments of Tangents, Secants and Chords

  2. In this section, we will be finding the lengths of segments formed when secants, tangents and/or chords intersect.

  3. You should already know the following definitions: a tangentis a line in the plane of the circle that intersects a circle in only 1 pointa secant is a line that intersects a circle in 2 points a chord is a line segment with endpoints on the circle

  4. A tangent segmentis part of a tangent with one endpoint outside the circle and the second endpoint being the point of tangency.

  5. A secant segmentis part of a secant with one endpoint outside the circle and the second endpoint on the far edge of the circle.

  6. An external secant segmentis part of a secant with one endpoint outside the circle and the second endpoint on the near edge of the circle.

  7. ______ is a tangent (line), ______ is a secant (line),______ is a tangent segment,______ is a secant segment,______ is an external secant segment ______ is a chord.

  8. TheoremIf two secants intersect outside a circle, then the product of the length of one secant segment and its external secant segment equals the product of the other secant segment and its external secant segment.Note: whole x outside = whole x outside

  9. TheoremIf a tangent and a secant intersect outside a circle, then the product of the length of the secant segment and its external secant segment equals the square of the tangent segment.

  10. Theorem If two chords intersect inside a circle, then the product of the lengths of the two segments on one chord equals the product of the two segments on the second chord.

  11. Example 4: The piece of pottery shown at the right was found at an archeological site. Determine the diameter of the original piece of pottery. .8 in 1.4 in 1.4 in

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