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Exam-Style Questions on Circle TheoremsProblems on Circle Theorems adapted from questions set in previous Mathematics exams. |
1. | GCSE Higher |
Points B, D, G and F lie on a circle.
ABC is the tangent to the circle at B.
CDE is the tangent to the circle at D.
Find the size of angle CDG.
You must give a reason for each stage of your working.
2. | GCSE Higher |
(a) Find \(x\), the size of angle ABC if B, C and D are all points on the circle to which AB is a tangent. The diagram is not drawn to scale.
(b) Give a reason for your answer
3. | GCSE Higher |
The diagram, not drawn to scale, shows chords joining points on the circumference of a circle. Prove that triangle ADE is similar to triangle BCE.
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