Circle Properties and Theorems Quiz

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10 Questions

Explain the relationship between equal chords and their angles at the center of a circle.

Equal chords of a circle (or of congruent circles) subtend equal angles at the centre.

What happens when the angles subtended by the chords of a circle at the center are equal?

If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.

What is the property of the perpendicular drawn from the centre of a circle to a chord?

The perpendicular drawn from the centre of the circle to a chord bisects the chord.

Describe the relationship between equal chords and their distance from the center of a circle.

Equal chords of a circle are equidistant from the centre.

What is the relationship between congruent arcs and the angles they subtend at the center of a circle?

Congruent arcs of a circle subtend equal angles at the centre.

What is the property of equal chords of a circle?

Equal chords of a circle (or of congruent circles) subtend equal angles at the centre.

What is the property of the perpendicular drawn from the centre of a circle to a chord?

The perpendicular drawn from the centre of the circle to a chord bisects the chord.

What is the property of chords equidistant from the centre of a circle?

Chords equidistant from the centre of a circle are equal in length.

What is the property of congruent arcs of a circle?

Congruent arcs of a circle subtend equal angles at the centre.

What is the property of the angle subtended by an arc at the centre?

The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Test your knowledge of circle properties and theorems with this quiz. Explore concepts such as radius, diameter, chord, segment, and cyclic quadrilateral. Discover the relationships between angles subtended by chords, equal chords, and the perpendicular bisector theorem.

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