Rules for chord theorems

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8 Terms

1
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<p>Chord theorem 1</p>

Chord theorem 1

chords of equal length subtend equal angles at the centre of a circle

2
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<p>chord theorem 2</p>

chord theorem 2

chords of equal length are equidistant from the centre of the circle

3
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<p>chord theorem 3</p>

chord theorem 3

perpendicular from the centre of circle to the chord bisects the chord and the angle subtend to the chord

4
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<p>chord theorem 4</p>

chord theorem 4

perpendicular bisectors of every chord of a circle intersect at centre of circle

5
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<p>circle theorem 1</p>

circle theorem 1

The angle at the centre of a circle is twice the angle at a point on the circle subtended by the same arc.

6
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<p>Circle theorem 2</p>

Circle theorem 2

The angle in a semicircle is 90deg

7
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<p>Circle theorem 3</p>

Circle theorem 3

Angles at the circumference of a circle subtended by the same arc are equal.

8
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<p>circle theorem 4</p>

circle theorem 4

Opposite angles in a cyclic quadrilateral are supplementary