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Circles and Chords

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Questions and Answers

Which of the following statements about a chord is true?

A chord is a line segment that connects the center of a circle to a point on the circle.

A chord is a line segment that connects two points on a circle.

A chord is any segment with endpoints that are on the circle. (correct)

A chord is formed by the intersection of two arcs on a circle.

What is the relationship between congruent chords and congruent arcs in the same circle?

Congruent chords in the same circle intersect at the center of the circle.

Congruent chords in the same circle have equal lengths.

Congruent chords in the same circle have perpendicular bisectors.

Congruent chords in the same circle have congruent corresponding arcs. (correct)

If a diameter of a circle is perpendicular to a chord, what can be concluded about the relationship between the diameter, chord, and their respective arcs?

The diameter is equal in length to the chord.

The diameter is parallel to the chord.

The diameter bisects the chord and its arc. (correct)

The diameter and chord intersect at the center of the circle.

What can be concluded if one chord is a perpendicular bisector of another chord in a circle?

<p>The first chord is a diameter of the circle.</p> Signup and view all the answers

What is the measure of angle AD in the given diagram?

<p>40°</p> Signup and view all the answers

Study Notes

Circle Chords and Arcs

Congruent chords in the same circle have congruent arcs.
If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and the respective arcs.
If one chord is a perpendicular bisector of another chord in a circle, then the two chords are perpendicular bisectors of each other.
In the given diagram, angle AD is a right angle (90 degrees).

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Description

Test your knowledge of chords, arcs, and tangents in circles with this math quiz. Identify chords, find measurements, prove tangents, and determine angles formed by secants and tangents.