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The angle in a semicircle is a right angle

The starter and exit quiz of the lesson “The angle in a semicircle is a right angle”, from the unit “Circle theorems” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. A chord has endpoints of A and B.Where on the circle must points A and B lie?
  2. The size of the angle labelled x° on this 20-point geoboard is ___°.
  3. The size of the angle labelled y° on this 20-point geoboard is ___°.
  4. The size of the angle labelled z° on this 20-point geoboard is___°.
  5. What is the size of the angle subtended by the chord AC (in degrees)?
  6. The size of the angle labelled m° is ___°.
  7. Find the size of angle a° on this 8-point geoboard (in degrees).
  8. Find the size of angle b° on this 8-point geoboard (in degrees).
  9. The size of the angle labelled c° on this 8-point geoboard is ___°.
  10. The size of the angle (b+d)° on this 8-point geoboard is ___°.
  11. The size of the angle labelled x° is ___°.
  12. Chord AB has length of 4 cm.The length of chord BC is ___ cm (2 d.p.).

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The angle in a semicircle is a right angle · Examplary