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Arcs, Chords and Tangents (12.1,12.2)

Arcs, Chords and Tangents (12.1,12.2). Obj : SWBAT find the lengths of chords, arc measures and tangent lines. (G.11a, b). WU : checkpoint G.6 **hw/hw log/foldable: “Arcs & Chords” and “Tangents” storybook: “Secants/Tangents/Chords in Circles”. HW (day 57):

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Arcs, Chords and Tangents (12.1,12.2)

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  1. Arcs, Chords and Tangents (12.1,12.2) Obj: SWBAT find the lengths of chords, arc measures and tangent lines. (G.11a, b) WU: checkpoint G.6 **hw/hw log/foldable: “Arcs & Chords” and “Tangents” storybook: “Secants/Tangents/Chords in Circles” HW (day 57): Regular: wkb p. 311-312 and wkb p. 315-316 3rd Nine weeks review (1-43) Honors: wks day 57 and 3rd Nine Weeks Review (1-43) Pearsonsuccess.net (due Friday)

  2. Foldable: “Tangents” “ Arcs and Chords” • Let’s practice!!!! • If time: Third nine weeks review for test!

  3. Thm: In a circle or in congruent circles, two chords are congruent iff their corresponding chords are congruent. Ex: In A, if ________, then ____  ____.

  4. Thm: In a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc.

  5. Thm: In a circle or in congruent circles, two chords are congruent iff they are equidistant from the center.

  6. Tangent Line- a line that intersects a  in one point (pt of tangency) • Thm: If a line is tangent to a , then it is perpendicular to its radius. (the converse is also true!) • Thm: If two segments form the same exterior pt are tangent, then they are then they .

  7. Find x. 1. 2. Suppose a chord of a circle is 10 inches long and is 12 inches from the center of the circle. Find the length of the diameter. 3. Suppose the diameter of a circle is 34 inches long and a chord is 30 inches long. Find the distance between the chord and the center of the circle.4. Suppose a chord of a circle is 24 cm long and is 15 cm from the center of the circle. Find the length of the radius.

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