Proof of the Circle Theorems
16
Hard
0/4

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]

Proof of the Circle Theorems Questions

Practise AQA GCSE Maths Proof of the Circle Theorems with exam-style questions for Foundation and Higher tier. 20 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 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.

PreviousNext

Proof of the Circle Theorems Questions

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