Circle Theorems

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  • Created by: max mully
  • Created on: 10-05-18 11:50
Angles at the centre and circumference
More simply, the angle at the centre is double the angle at the circumference.
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Angles in the same segment
The angles at the circumference subtended by the same arc are equal. Put more simply, angles in the same segment are equal.
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Cyclic quadrilaterals
A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every vertex of the quadrilateral must touch the circumference of the circle.
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Angles in a semicircle
The angle at the circumference in a semicircle is a right angle.
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Tangents 1
The angle between a tangent and a radius is 90°
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Tangents 2
Tangents which meet at the same point are equal in length.
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Chords
he perpendicular from the centre of a circle to a chord bisects the chord.
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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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Other cards in this set

Card 2

Front

The angles at the circumference subtended by the same arc are equal. Put more simply, angles in the same segment are equal.

Back

Angles in the same segment

Card 3

Front

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

Back

Preview of the back of card 3

Card 4

Front

The angle at the circumference in a semicircle is a right angle.

Back

Preview of the back of card 4

Card 5

Front

The angle between a tangent and a radius is 90°

Back

Preview of the back of card 5
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