Circle theorems

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Math

IGCSE Maths: Core

Edexcel

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8 Terms

1
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<p>alternate segment theorem</p>

alternate segment theorem

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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<p>angle at the centre theorem</p>

angle at the centre theorem

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>angles in the same segment theorem</p>

angles in the same segment theorem

angles in the same segment are equal

<p>angles in the same segment are equal</p>
4
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<p>angles in a semi circle</p>

angles in a semi circle

the angle in a semi circle is 90 degrees

<p>the angle in a semi circle is 90 degrees</p>
5
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<p>chord of a circle</p>

chord of a circle

the perpendicular from the centre of a circle to a chord bisects the chord (splits the chord into two equal parts

<p>the perpendicular from the centre of a circle to a chord bisects the chord (splits the chord into two equal parts</p>
6
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<p>cyclic quadrilateral</p>

cyclic quadrilateral

the opposite angles in cyclic quadrilateral total to 180 degrees

<p>the opposite angles in cyclic quadrilateral total to 180 degrees</p>
7
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<p>tangent of a circle A</p>

tangent of a circle A

the angle between a tangent and a radius is 90 degrees

<p>the angle between a tangent and a radius is 90 degrees</p>
8
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<p>tangent of a circle B</p>

tangent of a circle B

tangents which meet at the same point are equal in length

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