5 Questions
Which of the following statements about a chord is true?
A chord is any segment with endpoints that are on the circle.
What is the relationship between congruent chords and congruent arcs in the same circle?
Congruent chords in the same circle have congruent corresponding 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 bisects the chord and its arc.
What can be concluded if one chord is a perpendicular bisector of another chord in a circle?
The first chord is a diameter of the circle.
What is the measure of angle AD in the given diagram?
40°
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).
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.
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