Unit 3: Circles & Spheres

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Presentation transcript:

Unit 3: Circles & Spheres Math 2 – 6.3 Properties of Chords

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

Example 1: Find the chord length. a. b.

Example 2: Find the arc length. a. b.

Theorem If one chord is a perpendicular bisector of another chord, then … the first chord is a diameter

Tell whether QS is a diameter of the circle. If not, explain why. Example 3: Tell whether QS is a diameter of the circle. If not, explain why. a. b.

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

Find the measures of CB and BE. Example 4: Find the measures of CB and BE.

Find the given measures. a. b. Example 5: Find the given measures. a. b.

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

Example 6: Find EF.

Example 7: Use the diagram to match the chord or arc with a congruent chord or arc.