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11-2 Chords and Arcs

11-2 Chords and Arcs. Check Skills You’ll Need. Goal 1: To use congruent chords, arcs, and central angles Goal 2: To recognize properties of lines through the center of a circle. Find the value of each variable. If your answer is not an integer, leave it in simplest radical form. 2.

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11-2 Chords and Arcs

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  1. 11-2 Chords and Arcs Check Skills You’ll Need Goal 1: To use congruent chords, arcs, and central angles Goal 2: To recognize properties of lines through the center of a circle Find the value of each variable. If your answer is not an integer, leave it in simplest radical form. 2.

  2. A segment whose endpoints are on a circle is called a chord. The diagram shows the related chord and arc,     and    .

  3. A central angle of a circle is an angle whose vertex is the center of the circle. CPA is a central angle.

  4. Within a circle or in congruent circles Congruent central angles have congruent chords. (2) Congruent chords have congruent arcs. (3) Congruent arcs have congruent central angles.

  5. Theorem Within a circle or in congruent circles Chords equidistant from the center are congruent. (2) Congruent chords are equidistant from the center.

  6. In a circle, a diameter that is perpendicular to a chord bisects the chord and its arcs. (2) a diameter that bisects a chord (that is not a diameter) is perpendicular to the chord. (3) the perpendicular bisector of a chord contains the center of the circle. contains the center of circle T

  7. Assignment: p. 593 #3-8, 11-19

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