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The tangent at any point on a circle is perpendicular to the radius at that point

The starter and exit quiz of the lesson “The tangent at any point on a circle is perpendicular to the radius at that point”, from the unit “Circle theorems” (Year 10 Maths) by Oak National Academy.

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12 questions

  1. The ___ is a line which intersects the circle exactly once.
  2. The size of the angle labelled x° is ___°.
  3. MY = 8 cm, OZ = 13 cm, ZM = 12 cm, OM = 5 cm.Find the distance MX.
  4. The size of the angle labelled m° is ___° (in degrees).
  5. The size of the angle labelled a° is ___°.
  6. The angle subtended from arc AB at the circumference of the circle is 11°. Find ∠BOA (in degrees).
  7. The size of the angle labelled x° on this 9-point geoboard is ___°.
  8. Find ∠OAB on this 9-point geoboard (in degrees).
  9. Find ∠EFO on this 8-point geoboard (in degrees).
  10. Find ∠DEF on this 8-point geoboard (in degrees).
  11. Find the size of angle x° (in degrees).
  12. Find the size of angle y° (in degrees).

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The tangent at any point on a circle is perpendicular to the radius at that point · Examplary