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Proof of the Circle Theorems

Proof of the Circle Theorems

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Question 17

A,B A, B\,A,B and C C\,C are points on the circumference of a circle, centre OOO. DCE DCE\,DCE is a tangent to the circle.

A geometric diagram showing a circle with center O. A horizontal line DCE is tangent to the circle at point C. Points A and B are on the circumference. Chords AC and BC are drawn. Angle BAC is the inscribed angle subtending arc BC. Angle BCE is the angle between the tangent line CE and the chord BC.

Prove that angle BCE BCE\,BCE and angle BAC BAC\,BAC are equal.

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Markscheme

Proof of the Circle Theorems Questions

  1. GCSE
  2. /Maths
  3. /Proof of the Circle Theorems

19 exam-style questions on Edexcel GCSE Maths Proof of the Circle Theorems. Each one has a worked solution and a mark scheme showing where the marks go.

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