Circle Properties Quiz

A circle is the collection of all points in a plane, which are equidistant from a fixed point called the ______

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

If the angles subtended by two chords of a circle (or of congruent circles) at the centre (corresponding centres) are equal, the chords are ______

The perpendicular from the centre of a circle to a chord ______ the chord

The line drawn through the centre of a circle to bisect a chord is ______ to the chord

Equal chords of a circle (or of congruent circles) are equidistant from the ______ (or corresponding centres)

Chords equidistant from the centre (or corresponding centres) of a circle (or of congruent circles) are ______

If two arcs of a circle are congruent, then their corresponding chords are ______

Congruent arcs of a circle subtend equal angles at the ______

A circle is a collection of points in a plane that are equidistant from a fixed point, called the center.
Equal chords of a circle (or congruent circles) subtend equal angles at the center.
If the angles subtended by two chords of a circle (or congruent circles) at the center are equal, the chords are equal.

The perpendicular from the center of a circle to a chord bisects the chord.
The line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
Equal chords of a circle (or congruent circles) are equidistant from the center (or corresponding centers).
Chords equidistant from the center (or corresponding centers) of a circle (or congruent circles) are equal.

If two arcs of a circle are congruent, then their corresponding chords are equal.
If two chords of a circle are equal, then their corresponding arcs (minor, major) are congruent.
Congruent arcs of a circle subtend equal angles at the center.

The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
Angles in the same segment of a circle are equal.
An angle in a semicircle is a right angle.

If a line segment joining two points subtends equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a circle.
The sum of either pair of opposite angles of a cyclic quadrilateral is 180.

Test your knowledge on various properties of circles such as equal chords, angles subtended by chords, perpendicular bisectors, and more.

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