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9 Cards in this Set
- Front
- Back
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A segment whose endpoints are on a circle, but do not go through the center of the circle
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chord
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congruent central angles have congruent ___ and ___
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chords and arcs
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congruent arcs have congruent ___ and ___
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chords and central angles
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congruent chords have ___ and ___
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congruent central angles and arcs
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also, within a circle or in congruent circles, what other relationships exist with congruent chords?
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1. chords equidistant from the center are congruent
2. congruent chords are equidistant from the center |
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theorem 11-6
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In a circle, a diameter that is perpendicular to a chord bisects the chord and its arcs.
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theorem 11-7
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In a circle, a diameter that bisects a chord (that is not a diameter) is perpendicular to the chord.
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theorem 11-8
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In a circle, the perpendicular bisector of a chord contains the center of the circle.
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summarizing theorems
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a diameter of a circle that contains the center of the circle is the perpendicular bisector of a chord and its arcs
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