Special Segments in a circle (G.11c/2.4)

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Special Segments in a circle (G.11c/2.4) SWBAT find the lengths of special segments in a circle (G.11a, b) Warm-Up Picke 25 question Packet” #25-39 *hw/hw log/storybook: “Secants/Tangents/Chords” Circle foldable Homework (day 57): Wkb p. 323-324 (11-16, 17, 19)/Textbook p. 815 (1-13, 15, 19-22) Storybook: “Secants,Tangents,Chords” & “Circles, Angles” Quiz next block (12.1-12.4) Pearsonsuccess.net (due Friday)

HW Answers Textbook p.815

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

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

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

More Examples: Find x in each problem.