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10.3 Arcs & Chords First & Last Name March 6, 2014 ______Block.

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Presentation on theme: "10.3 Arcs & Chords First & Last Name March 6, 2014 ______Block."— Presentation transcript:

1 10.3 Arcs & Chords First & Last Name March 6, 2014 ______Block

2 The endpoints of a chord are also endpoints of an arc. Theorem 10.2: In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

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4 The chords of adjacent arcs can form a polygon. A polygon is inscribed in a circle if each of its vertices lie on the circle. A circle is circumscribed about a polygon if the circle contains all the vertices of the polygons.

5 2. The main veins of a snowflake create six congruent central angles. Determine whether the hexagon containing the flake is regular (all the sides and angles are congruent).

6 a.b. 3. Determine the measure of each arc of the circle circumscribed about the traffic sign.

7 Theorem 10.3: In a circle, if a diameter (or radius) is perpendicular to a chord, then it bisects the chord and its arc.

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9 5. In circle T, ZV=1, and TW=13. Find each measure. a.XV b.XY

10 Theorem 10.4: In a circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

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12 7. In circle D, CF=8, DE=FD, and DC=10. Find each measure. a.FB b.BC c.AB d.ED

13 Exit Slip 3.Determine the measure of each arc of the circle circumscribed about the traffic sign. a. b.


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