Section 10-2 Arcs and Central Angles. Theorem 10-4 In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding.

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Presentation transcript:

Section 10-2 Arcs and Central Angles

Theorem 10-4 In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

A B C Therefore,

Theorem 10-5 If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

and If F E D G H C Circle C

Theorem 10-6 If one chord is a perpendicular bisector of another chord, then the first chord is a diameter.

F E D G H C Circle C Then is a diameter of the circle.

Theorem 10-7 In the same circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center.

O C Circle C M P R N Q if and only if