Proof of the Circle Theorems
16
Hard
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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.

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Proof of the Circle Theorems Questions

Practise Eduqas GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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Proof of the Circle Theorems Questions

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