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Questions and Answers
Which of the following statements about a chord is true?
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?
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?
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?
What can be concluded if one chord is a perpendicular bisector of another chord in a circle?
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What is the measure of angle AD in the given diagram?
What is the measure of angle AD in the given diagram?
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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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