# circle theorems

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Angles at the centre

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## Description and Tags

### 8 Terms

1

Angles at the centre

Angle at the centre is twice the angle at the circumference

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2

Angles in the same segment

Angles in the same segment are equal.

Angles a = a

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3

Angle in a semicircle

The angle in a semicircle is 90° or a right angle

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4

cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

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5

Tangents

There are two circle theorems involving tangents.

1. The angle between a tangent and a radius is 90°.

2. Tangents which meet at the same point are equal in length.

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6

Chords

The perpendicular from the centre of a circle to a chord bisects the chord.

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7

The alternate segment theorem

The angle between a tangent and a chord is equal to the angle in the alternate segment.

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8

Two Tangent Theorem

if two tangent segments are drawn to one circle from the same external point, then they are congruent.

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