Circle Theorems
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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?

  • 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?

  • 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?

  • 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?

    <p>It is perpendicular to the chord</p> Signup and view all the answers

    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)?

    <p>They are equidistant from the center</p> Signup and view all the answers

    What conclusion can be drawn about chords equidistant from the center of a circle (or corresponding centers) according to a circle property?

    <p>They have equal lengths</p> Signup and view all the answers

    If two areas of a circle are congruent, what can be concluded about their corresponding chords?

    <p>The chords are equal in length</p> Signup and view all the answers

    According to circle properties, what can be said about congruent arcs of a circle concerning the angles they subtend at the center?

    <p>The angles subtended are equal</p> Signup and view all the answers

    What type of angles do angles in the same segment of a circle share?

    <p>Equal angles</p> Signup and view all the answers

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

    <p>plane</p> Signup and view all the answers

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

    <p>centre</p> Signup and view all the answers

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

    <p>equal</p> Signup and view all the answers

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

    <p>bisects</p> Signup and view all the answers

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

    <p>perpendicular</p> Signup and view all the answers

    Equal chords of a circle are equidistant from the ______.

    <p>centre</p> Signup and view all the answers

    Chords equidistant from the centre of a circle are ______.

    <p>equal</p> Signup and view all the answers

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

    <p>equal</p> Signup and view all the answers

    Congruent areas of a circle subtend equal angles at the ______.

    <p>centre</p> Signup and view all the answers

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