AQA · Mathematics · 8300
GCSE Maths: Circle theorems proof
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Circle theorems proof (Corbettmaths), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What is the measure of an angle inscribed in a semicircle?
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90°. The angle in a semicircle is always a right angle.
What is the relationship between an angle at the centre of a circle and an angle at the circumference subtending the same arc?
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The angle at the centre is twice the angle at the circumference.
What can be said about angles inscribed in the same segment of a circle?
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Angles in the same segment are equal.
What is the sum of opposite angles in a cyclic quadrilateral?
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180°. Opposite angles in a cyclic quadrilateral are supplementary.
What is the angle between a tangent to a circle and the radius at the point of tangency?
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90°. A tangent is always perpendicular to the radius at the point of contact.
In the alternate segment theorem, what is the relationship between the angle formed by a tangent and chord and the angle in the alternate segment?
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They are equal. The angle between the tangent and chord at the point of contact equals the angle in the alternate segment.
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