AQA · Mathematics · 8300
GCSE Maths: Circle theorems proof: cyclic quadrilaterals
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Circle theorems proof: cyclic quadrilaterals (Corbettmaths Video 65), 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°. This is one of the fundamental circle theorems.
What is the relationship between an angle at the centre 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 is true about angles in the same segment of a circle?
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Angles in the same segment are equal.
What do opposite angles in a cyclic quadrilateral sum to?
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180°. Opposite angles in a cyclic quadrilateral are supplementary.
What is the angle between a tangent and the radius at the point of contact?
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90°. The radius is perpendicular to the tangent at the point of contact.
What does the alternate segment theorem state about the angle between a tangent and a chord?
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The angle between the tangent and the chord at the point of contact equals the angle in the alternate segment.
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