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Notes 66: ( 10.3) Apply Properties of Chords

Notes 66: ( 10.3) Apply Properties of Chords. THEOREM 10.3. In the same circle, or in congruent circle, two minor arcs are congruent if and only if their corresponding chords are congruent. if and only if . THEOREM 10.4.

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Notes 66: ( 10.3) Apply Properties of Chords

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  1. Notes 66: (10.3) Apply Properties of Chords

  2. THEOREM 10.3 • In the same circle, or in congruent circle, two minor arcs are congruent if and only if their corresponding chords are congruent. if and only if .

  3. THEOREM 10.4 • If one chord is a perpendicular bisector of another chord, then the first chord is a diameter. • If is a perpendicular bisector of , then is a diameter of the circle

  4. THEOREM 10.5 • If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc. • If is a diameter and , then , and .

  5. THEOREM 10.6 • In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from and only the center. • if and only if EF = EG.

  6. Use congruent chords to find an arc measure • In the diagram, AD, = , and m = 125. Find m.

  7. Use the diagram of E to find the length of . Tell what theorem you use.

  8. In the diagram of F, AB = CD = 12. Find .

  9. Independent Practice 1 • If m = 121°, find m .

  10. Independent Practice 2 • Find the measures of:

  11. Independent Practice 3 • If AB= 27 and EF = GF = 7. Find CD.

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