Circle Theorems Flashcards

0
Q

Arrowhead

A

The angle subtended at the centre of the circle is double the size of the angle at the circumference from the same points.

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1
Q

Butterfly

A

Angles in the same segment of a circle are equal

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2
Q

Wheel on a flat surface

A

The angle between the tangent and radius is 90 degrees

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3
Q

Diameter triangle

A

The inscribed angle in a semicircle is 90 degrees

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4
Q

Rectangle

A

Opposite angles in a cyclic quadrilateral add up to 180 degrees

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5
Q

Triangle in circle on flat surface

A

Alternate segment theorem

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6
Q

Arrow from circumference of circle

A

Tangents from a point outside the circle are equal in length

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7
Q

From centre triangle

A

The perpendicular from the centre to the chord bisects the chord

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