18 Questions
What property of a circle states that equal chords of a circle (or of congruent circles) subtend equal angles at the centre?
Equal chord theorem
In a circle, if the angles subtended by two chords at the centre are equal, what can be concluded about the chords?
They are equal
Which theorem states that the perpendicular from the centre of a circle to a chord bisects the chord?
Midpoint theorem
What can be said about the line drawn through the centre of a circle to bisect a chord?
It is perpendicular to the chord
According to a property of a circle, what happens with equal chords of a circle (or of congruent circles) and their distance from the centre (or corresponding centres)?
They are equidistant from the center
What conclusion can be drawn about chords equidistant from the center of a circle (or corresponding centers) according to a circle property?
They have equal lengths
If two areas of a circle are congruent, what can be concluded about their corresponding chords?
The chords are equal in length
According to circle properties, what can be said about congruent arcs of a circle concerning the angles they subtend at the center?
The angles subtended are equal
What type of angles do angles in the same segment of a circle share?
Equal angles
A circle is the collection of all points in a plane, which are equidistant from a fixed point on the ______.
plane
Equal chords of a circle (or of congruent circles) subtend equal angles at the ______.
centre
If the angles subtended by two chords of a circle at the centre are equal, the chords are ______.
equal
The perpendicular from the centre of a circle to a chord ______ the chord.
bisects
The line drawn through the centre of a circle to bisect a chord is ______ to the chord.
perpendicular
Equal chords of a circle are equidistant from the ______.
centre
Chords equidistant from the centre of a circle are ______.
equal
If two areas of a circle are congruent, then their corresponding chords are ______.
equal
Congruent areas of a circle subtend equal angles at the ______.
centre
Test your knowledge of circle theorems with this quiz covering properties such as equal chords subtending equal angles, equal chords having equal angles at the centre, and perpendicular bisectors from the centre of a circle bisecting the chord.
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