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Proof of the Circle Theorems

Proof of the Circle Theorems

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Question 4

X,Y X, Y\,X,Y and Z Z\,Z are points on the circumference of a circle, centre OOO. SZT SZT\,SZT is a tangent to the circle.

Circle with centre O, triangle XYZ inscribed, and horizontal tangent SZT touching the circle at Z.

A geometric diagram shows a circle with center OOO. A horizontal line SZT SZT\,SZT is tangent to the circle at point ZZZ. Points X X\,X and Y Y\,Y are on the circumference. Chords XZ XZ\,XZ and YZ YZ\,YZ are drawn.

Prove that angle TZY TZY\,TZY and angle ZXY ZXY\,ZXY are equal.

[4]
Markscheme

Proof of the Circle Theorems Questions

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

19 exam-style questions on AQA 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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