Circle Theorems

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Question 1

The angle subtended by a chord at a point on the circle is:


  • A

    Variable

  • B

    Zero

  • C

    180°

  • D

    Constant

Question 2

The angle subtended by a diameter at any point on the circle is:


  • A

    Acute angle

  • B

    Obtuse angle

  • C

    Straight angle

  • D

    Right angle

Question 3

Angles in the same segment of a circle are:

  • A

    Equal

  • B

    Complementary

  • C

    Supplementary

  • D

    Unequal

Question 4

If a chord subtends equal angles at two points on the circle, then those points lie in:


  • A

    A. Different circles

  • B

    Centre

  • C

    Different segments

  • D

    Same segment

Question 5

If two chords are equal in a circle, then they are:

  • A

    Unequal distances from centre

  • B

    Parallel

  • C

    Perpendicular

  • D

    Equidistant from the centre

Question 6

If a line is drawn from the centre perpendicular to a chord, then it:

  • A

    Extends the chord

  • B

    Is parallel to the chord

  • C

    Divides the circle

  • D

    Bisects the chord

Question 7

If two arcs of a circle are equal, then the corresponding chords are:

  • A

    Unequal

  • B

    Parallel

  • C

    Equal

  • D

    Perpendicular

Question 8

If two chords of a circle are equidistant from the centre, then they are:

  • A

    Parallel

  • B

    Equal

  • C

    Unequal

  • D

    Intersecting

There are 8 questions to complete.

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