GCSE Maths- Circle Theorems

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Last updated 8:48 AM on 9/6/26
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17 Terms

1
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The angle at the centre is twice the angle at the circumference

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Angles in a semicircle are 90 degrees

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Angles in the same segment are equal

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The tangent and the radius meet at right angles

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The Alternate Segment Theorem

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The Intersecting Chord Theorem

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When a radius bisects a chord, they are perpendicular.

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Opposite angles in a cyclic quadrilateral add to 180 degrees

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Triangles from the centre to the circumference are isosceles

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The Intersecting Secant Theorem

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Alternate Angles are Equal (Z-angles)

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Corresponding angles are equal (F-angles)

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Co-interior angles add to 180 degrees (C-angles)

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Opposite angles are equal

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What is the Intersecting Secant Theorem?

a x b = c x d

<p>a x b = c x d</p>
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What is the Alternate Segment Theorem?

Angles of the same colour are equal

<p>Angles of the same colour are equal</p>
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What is the Intersecting Chord Theorem?

a x b = c x d

<p>a x b = c x d</p>