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The perpendicular from the centre of a circle to a chord bisects the chord

The starter and exit quiz of the lesson “The perpendicular from the centre of a circle to a chord bisects the chord”, from the unit “Circle theorems” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Which of these statements are correct?
  2. Find the size of angle a°.
  3. The size of the angle subtended by the chord AC is ___°?
  4. The image shows an 8-point geoboard. The size of angle b° is ___°.
  5. On this 8-point geoboard the size of the angle labelled c° is ___°.
  6. The area of triangle ABC is 336 cm².Find the area of the circle, in cm² (3 s.f.)
  7. On this 10-point geoboard ∠AOM is ___°.
  8. On this 10-point geoboard ∠OAM is ___°.
  9. Find ∠OMA on this 10-point geoboard (in degrees).
  10. BMA and OMC are straight line segments. AM = 10 cm Which of these are also 10 cm long?
  11. BMA and OMC are straight line segments. AM = 10 cm. Radius OB has length 14 cm.Find the length of OM (in cm, to 2 d.p.).
  12. BMA and OMC are straight line segments. AM = 10 cm. Radius OB has length 14 cm.The size of ∠MOB is ___° (1.d.p.).

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The perpendicular from the centre of a circle to a chord bisects the chord · Examplary