Circle theorums

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https://thirdspacelearning.com/gcse-maths/geometry-and-measure/circle-theorems/

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8 Terms

1
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The angle that lies between a tangent and a chord is equal to the angle subtended by the same chord in the alternate segment.

<p>The angle that lies between a tangent and a chord is equal to the angle subtended by the same chord in the alternate segment. </p>
2
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The angle at the centre is twice the angle at the circumference.

<p>The angle at the centre is twice the angle at the circumference. </p>
3
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<p></p>

Angles in the same segment are equal

<p>Angles in the same segment are equal</p>
4
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<p></p>

The angle in a semicircle is 90 degrees.

<p>The angle in a semicircle is 90 degrees. </p>
5
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<p></p>

The angle between a tangent and radius is 90 degrees

<p>The angle between a tangent and radius is 90 degrees</p>
6
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<p></p>

The opposite angles in a cyclic quadrilateral total to 180.

<p>The opposite angles in a cyclic quadrilateral total to 180. </p>
7
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<p></p>

The angle in a semicircle is 90 degrees

<p>The angle in a semicircle is 90 degrees</p>
8
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Tangents which meet at the same point are equal in length.

<p>Tangents which meet at the same point are equal in length. </p>