Lesson 10.3
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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 • 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
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
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
HMWK • 2-22even, 27,28