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Special Segments in a circle (12.4)

SWBAT find the lengths of special segments in a circle (G.11a, b). Warm-Up Checkpoint G.6- graded!!! *hw/hw log/storybook: “Secants/Tangents/Chords” Circle foldable. Special Segments in a circle (12.4). Homework (day 58): Wkb p. 323-324 (11-13, 16-19) Textbook p. 815 (1-15, 19-22)

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Special Segments in a circle (12.4)

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  1. SWBAT find the lengths of special segments in a circle (G.11a, b) Warm-Up Checkpoint G.6- graded!!! *hw/hw log/storybook: “Secants/Tangents/Chords” Circle foldable Special Segments in a circle (12.4) Homework (day 58): Wkb p. 323-324 (11-13, 16-19) Textbook p. 815 (1-15, 19-22) Storybook: “Secants,Tangents,Chords” & “Circles, Angles” 3rd NW review questions Quiz next block (12.1-12.4) Pearsonsuccess.net (due Friday)

  2. Thm: If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal. 6 4 3 x AE•EC = BE•ED

  3. Thm: 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. AB•AC = AE•AD Find BC if AB = 8, AE = 10, ED = 24

  4. Thm: If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. WX•WX = WZ•WY WX2 = WZ•WY Find ZY if ZY = 2x, WZ=7.1, and WX = 9.8

  5. More Examples: Find x in each problem.

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