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Arcs Chapter 9 Section-4 Chords
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Theorem 9-4: In the same circle or in congruent circles… (1) Congruent arcs have congruent chords. (2) Congruent chords have congruent arcs. Why is this true? A B D C E
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Theorem 9-5: A diameter that is perpendicular to a chord bisects the chord and its arc. A B O C D Z Why is this true? 2 1 Point O is the center
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Theorem 9-6: In the same circle or in congruent circles…
Theorem 9-6: In the same circle or in congruent circles… (1) Chords equally distant from the center are congruent. (2) Congruent chords are equally distant from the center. A B C O D
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Find the values of x and y .
Find the values of x and y . #1 #2 O E F x 6 y O x y 5 13 .
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#3 What does x & AB equal? #4 What’s B B D C 8 O O x 220º A A C
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Sketch a circle O with radius 17mm and a chord 30mm long How far is the chord from O? O 15 15 x 172 = x2 8 = x 17
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:9-4 Arcs & Chords: Homework
Homework: Section 9.4 Written Exercises (p. 347) #1-13 (all) & (all) 9.3 & 9.4 Practice worksheet
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