Circle Theorems Flashcards

0
Q

Angle in a semicircle

A

The angle in a semi circle is 90*.

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1
Q

Angles at the centre and at the circumference

A

The angle at the centre is twice the angle at the circumference.

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2
Q

Angles in the same segment

A

Angles in the same segment are equal.

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3
Q

Angles in a cyclic quadrilateral

A

Opposite angles in a cyclic quadrilateral add up to 180*.

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4
Q

Length of tangents

A

The length of the two tangents from a point to a circle are equal.

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5
Q

Angle between a circle radius and tangent

A

The angle between a tangent and a radius in a circle is 90*.

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6
Q

Alternate segment theorem

A

Chord splits a circle into two segments. The angle facing the chord on one side, and the angle which is partly in the other segment and outside of the circle, are equal. (oe)

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