AQA · Mathematics · 8300
GCSE Maths: Circle theorems proof: right angle in a semi-circle
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Circle theorems proof: right angle in a semi-circle (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 a fundamental circle theorem.
The angle at the centre of a circle is ? the angle at the circumference when both subtend the same arc.
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twice
What is true about angles in the same segment of a circle?
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They are equal. Angles subtended by the same arc at the circumference 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.
The angle between a tangent and a radius at the point of contact is ?.
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90°
What does the alternate segment theorem state about the angle between a tangent and chord?
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The angle between the tangent and chord at the point of contact equals the angle in the alternate segment.
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