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Bell Work Title: Tangent Theorems Date:

Learn about circle theorems involving tangents, radius, and angles. Discover how to find missing angles in circles with helpful diagrams and examples. Practice simplifying surds and apply the theorems to solve geometric problems.

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Bell Work Title: Tangent Theorems Date:

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  1. Bell Work Title: Tangent Theorems Date: • Simplify the following surds fully:

  2. Lesson Sequence Key Words; Tangent, radius, centre, equal, angle, length.

  3. Lesson Objectives

  4. o Circle Theorem 2 The angle between a tangent and a radius is 90o.

  5. R P Q R Q U T T PT = PQ PT = PQ P U Circle Theorem 3 From any point outside a circle, only two tangents can be drawn and they are equal in length.

  6. P B A The diagram shows circle, centre O. Work out the missing angle x. 40° x O

  7. P A The diagram shows circle, centre O. Work out the missing angles x and y. B 20° y x O

  8. P A The diagram shows circle, centre O. Work out the missing angle x. x 142° O

  9. A The diagram shows circle, centre O. Work out the missing angles x and y. B 36° y x O

  10. P B A The diagram shows circle, centre O. Work out the missing angles x and z. 50° z x O

  11. GCSE Question

  12. How do you feel about today’s lesson: Write a tweet of what you have learnt today using the key words in no more than 140 characters…

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