Circle Theorem Flashcards

(10 cards)

1
Q

What is the angle at the centre theorem

A

Angle at the centre is twice the angle at the circumference subtended by the same arc

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2
Q

What is the angle in a semicircle theorem

A

Angle in a semicircle is 90 degrees

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3
Q

What is the angles in the same segment theorem

A

Angles in the same segment are equal

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4
Q

What is the cyclic quadrilateral theorem

A

Opposite angles of a cyclic quadrilateral add to 180 degrees

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5
Q

What is the tangent and radius theorem

A

A tangent to a circle is perpendicular to the radius at the point of contact

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6
Q

What is the alternate segment theorem

A

Angle between tangent and chord equals angle in alternate segment

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7
Q

What is the angle between two tangents theorem

A

Angle between two tangents from a point outside the circle equals 180 minus the angle at centre

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8
Q

What is chord bisector theorem

A

A line from the centre that bisects a chord is perpendicular to the chord

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9
Q

What is tangent from external point theorem

A

Tangents from the same external point are equal in length

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10
Q

What is the radius perpendicular to chord theorem

A

The perpendicular from the centre to a chord bisects the chord

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