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6.3 Apply Properties of Chords

6.3 Apply Properties of Chords. 6.3-6.4 Quiz: Nov. 5 Performance Exam: Dec. 2. Theorem 6.5. In the SAME circle, or in CONGRUENT circles, two minor arcs are congruent if and only if their corresponding chords are congruent. Theorem 6.6.

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6.3 Apply Properties of Chords

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  1. 6.3Apply Properties of Chords 6.3-6.4 Quiz: Nov. 5 Performance Exam: Dec. 2

  2. Theorem 6.5 • In the SAME circle, or in CONGRUENT circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

  3. Theorem 6.6 • If one chord is a perpendicular bisector of another chord, then the first chord is a diameter. • If BD is a perpendicular bisector of EC, then BD is a diameter of the circle.

  4. Theorem 6.7 • If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

  5. Examples:

  6. Theorem 6.8 • In the SAME circle, or in CONGRUENT circles, two chords are congruent if and only if they are equidistant from the center.

  7. Example:

  8. Homework • P. 201 #1-12

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