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Cambridge IGCSE Mathematics practice

MCQ practice - Understand and apply the symmetry properties of circles, including that equal chords are at the same distance from the center, the perpendicular bisector of a chord goes through the center, and that tangents drawn from a point outside the circle are of equal length. Use these properties to justify answers in geometrical problems. - Circle theorems II

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MCQ

Type

cambridge_mcq

Style

Topic

Circle theorems II

Exam-style question

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Which statement is true about equal chords in a circle?.

  1. A.They are the same length but at different distances from the center.
  2. B.They are at the same distance from the center.
  3. C.They always intersect inside the circle.
  4. D.They have different perpendicular bisectors.

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  • Topic focus: Circle theorems II.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Circle theorems II

Paper 2Core or Extended Mathematics2 marks

Diagram Description

Circle with Chords AB and CD

In the circle below, chords AB and CD are equal in length. The perpendicular bisector of chord AB passes through the center O of the circle.

PointDescription
ABChord
CDChord equal in length to AB
OCenter of the circle
  1. a

    Explain Why are chords AB and CD the same distance from the center O?

    Aim for approximately 2 distinct marking points.

    [2]