Podcast
Questions and Answers
What property of a circle states that equal chords of a circle (or of congruent circles) subtend equal angles at the centre?
What property of a circle states that equal chords of a circle (or of congruent circles) subtend equal angles at the centre?
- Perpendicular bisector theorem
- Angle bisector theorem
- Equal chord theorem (correct)
- Circle tangent theorem
In a circle, if the angles subtended by two chords at the centre are equal, what can be concluded about the chords?
In a circle, if the angles subtended by two chords at the centre are equal, what can be concluded about the chords?
- They are perpendicular
- They are congruent
- They are equal (correct)
- They are parallel
Which theorem states that the perpendicular from the centre of a circle to a chord bisects the chord?
Which theorem states that the perpendicular from the centre of a circle to a chord bisects the chord?
- Pythagorean theorem
- Cyclic quadrilateral theorem
- Midpoint theorem (correct)
- Circle area theorem
What can be said about the line drawn through the centre of a circle to bisect a chord?
What can be said about the line drawn through the centre of a circle to bisect a 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)?
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)?
What conclusion can be drawn about chords equidistant from the center of a circle (or corresponding centers) according to a circle property?
What conclusion can be drawn about chords equidistant from the center of a circle (or corresponding centers) according to a circle property?
If two areas of a circle are congruent, what can be concluded about their corresponding chords?
If two areas of a circle are congruent, what can be concluded about their corresponding chords?
According to circle properties, what can be said about congruent arcs of a circle concerning the angles they subtend at the center?
According to circle properties, what can be said about congruent arcs of a circle concerning the angles they subtend at the center?
What type of angles do angles in the same segment of a circle share?
What type of angles do angles in the same segment of a circle share?
A circle is the collection of all points in a plane, which are equidistant from a fixed point on the ______.
A circle is the collection of all points in a plane, which are equidistant from a fixed point on the ______.
Equal chords of a circle (or of congruent circles) subtend equal angles at 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 at the centre are equal, the chords are ______.
If the angles subtended by two chords of a circle at the centre are equal, the chords are ______.
The perpendicular from the centre of a circle to a chord ______ the chord.
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.
The line drawn through the centre of a circle to bisect a chord is ______ to the chord.
Equal chords of a circle are equidistant from the ______.
Equal chords of a circle are equidistant from the ______.
Chords equidistant from the centre of a circle are ______.
Chords equidistant from the centre of a circle are ______.
If two areas of a circle are congruent, then their corresponding chords are ______.
If two areas of a circle are congruent, then their corresponding chords are ______.
Congruent areas of a circle subtend equal angles at the ______.
Congruent areas of a circle subtend equal angles at the ______.
