Arcs and Chords

Understand arcs and chords.

Lesson 2 of 53 parts Practice Flashcards

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Minor and Major Arcs

Objective: Apply minor and major arcs.

A minor arc measures less than 180°; the corresponding major arc completes 360°.

Worked examples

Try itA minor arc measures 35°. What is the major arc between the same endpoints?Show answer

325°. Major arc = 360°−minor arc.

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Objective: Apply minor and major arcs.

A minor arc measures less than 180°; the corresponding major arc completes 360°.

Worked examples

Try itA minor arc measures 35°. What is the major arc between the same endpoints?Show answer

325°. Major arc = 360°−minor arc.

Objective: Apply congruent chords.

In the same circle, congruent chords intercept congruent minor arcs.

Worked examples

Try itTwo congruent chords lie in one circle. One intercepts a minor arc of 34°. What does the other intercept?Show answer

34°. Congruent chords in one circle intercept congruent minor arcs.

Objective: Apply chord distance.

Chords equidistant from the center of the same circle are congruent.

Worked examples

Try itTwo chords are equally distant from the center. One has length 7. Find the other chord length.Show answer

7. Chords at equal distances from the center are congruent.

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