GCSE Maths Circle Theorem Proofs exam questions. This video is suitable for higher tier students only.
Keywords: Circle theorems, proof, segment, chord, arc, angle, subtend, tangent, circumference, centre, alternate segment theorem, angle at the centre, angle at the circumference, angles in the same segment, angle in a semi-circle, radius, radius drawn at the point of contact, cyclic quadrilateral
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Question list:
► Higher Tier only questions
0:00:00 – Intro
0:00:58 – Q12 – Prove a chord is the diameter of a circle
0:02:39 – Q12 – Prove two radii form a diameter
0:06:11 – Q13 – Prove a triangle drawn inside a circle is isosceles
0:11:28 – Q13 – Prove two triangles drawn inside a cirecle are similar
0:15:02 – Q16 – Prove a chord is not a diameter of a circle
0:19:35 – Q20 – Prove a chord is not a diameter of a circle
0:26:02 – Q20 – Prove a chord and a tangent are parallel
0:33:46 – Q21 – Prove a point is the centre of a circle
0:35:42 – Q24 – Prove a cyclic quadrilateral is a trapezium, a chord is a diameter, a line is a tangent
0:41:19 – Q23 – Prove a quadrilateral is not a cyclic quadrilateral
0:45:13 – Q29 – Proof involving a kite formed from two radii and two tangents
0:55:10 – Outro
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The exam practice paper sets featured in this series of videos are owned and produced by http://www.ocr.org.uk and https://aqa.org.uk. I am using them here for instructional purposes.
The solutions to these practice papers are my own and have not been provided or approved by OCR or AQA. There may be other methods of solution possible than the ones I have shown here.
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