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Pg 603.  An angle whose vertex is the center of the circle.

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Presentation on theme: "Pg 603.  An angle whose vertex is the center of the circle."— Presentation transcript:

1 Pg 603

2  An angle whose vertex is the center of the circle

3  Minor Arc  CB  Major Arc  BDC  Semicircle  Endpoints of the arc are a diameter

4  Minor Arc  The measure of the central angle  Major Arc  360 – minor arc  Congruent Arcs  Have the same measure

5  MN  80 °  MPN  360 – 80 = 280 °  PMN  180 °

6  The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.  mABC = mAB +mBC

7  GE  40 + 80 = 120 °  GEF  120 + 110 = 230 °  GF  360 – 230 = 130 °

8  In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.  if and only if

9  If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc. 

10  If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.

11

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13  In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

14  CD = 10


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