Circle theorems Flashcards

1
Q

Alternate segment theorem

A

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

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2
Q

Angles at the centre and circumference

A

The angle subtended by an arc at the centre is twice the angle subtended at the circumference

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3
Q

Angles in the same segmant

A

The angles at the circumference subtended by the same arc are equal

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4
Q

Cyclic quadrilaterals

A

The opposite angles in a cyclic quadrilateral add up to 180 degrees

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5
Q

Angles in a semicircle

A

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

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6
Q

Chords

A

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

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