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Proof of the Circle Theorems

Proof of the Circle Theorems

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Question 14

X,Y X, Y\,X,Y and Z Z\,Z are three points on the edge of a circular disc, centre WWW. XWZ XWZ\,XWZ is a diameter.

A circle with center W. Points X, Y, and Z are on the circumference. XWZ is a diameter, and XYZ is an inscribed angle.

Show that angle XYZ XYZ\,XYZ is exactly 90∘90^\circ90∘.

You must not use any circle theorems in your proof.

[4]
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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