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Circle Theorem Proofs iGCSE REVISION WORKSHEET

Cambridge iGCSE (0580): E4.6, E4.3
Edexcel iGCSE (4MA1): 3.15
Number of Questions: 9
Estimated time to complete: 15-30 minutes

About This Worksheet

This iGCSE revision worksheet covers Circle Theorem Proofs, aligned to Cambridge iGCSE (0580) syllabus codes E4.6, E4.3 and Edexcel iGCSE (4MA1) code 3.15. Answers and worked solutions are included.

This set of questions begins by asking learners to prove standard circle theorems. It then has two questions where learners must use geometrical reasoning to prove an angle fact.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

iGCSE Syllabus Alignment

Cambridge iGCSE Maths (0580)

E4.6Extended

Use the following circle theorem properties: angle in a semicircle, angle between tangent and radius, angle at centre is twice angle at circumference, angles in the same segment, opposite angles of a cyclic quadrilateral, alternate segment theorem

Geometry
E4.3Extended

Recognise rotational and line symmetry. Properties of triangles, quadrilaterals and circles directly related to their symmetries. Properties of a tangent to a circle

Geometry

Edexcel iGCSE Maths (4MA1)

3.15Higher

Understand and use circle theorems: angle in a semicircle is 90°; angle at centre is twice angle at circumference; angles in the same segment are equal; opposite angles of a cyclic quadrilateral sum to 180°; alternate segment theorem; tangent to a circle is perpendicular to the radius

Geometry

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