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Lesson 10.3

Lesson 10.3. Apply Properties of Chords Pg. 664. Theorem 10.3. In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. D. A. Arc AB = Arc DC. B. C. Theorem 10.4.

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Lesson 10.3

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  1. Lesson 10.3 Apply Properties of Chords Pg. 664

  2. Theorem 10.3 • In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. D A Arc AB = Arc DC B C

  3. Theorem 10.4 • If one chord is a perpendicular bisector of another chord, then the first chord is a diameter. T Then segment SQ is the diameter P S Q R

  4. Theorem 10.5 • If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc. F Then segment FH is congruent to segment HD and Arc FG is congruent to Arc GD . H E G D

  5. Theorem 10.6 • In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center. C Segment AB is congruent to segment CD if and only if segment EF is congruent to segment EG A G E D F B

  6. HMWK • 2-22even, 27,28

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