CIRCLE THEOREMS REASONS

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Angle at the centre
The angle at the centre is twice the angle at the circumference ( standing on the same chord)
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Angles in the same segment
Angles at the circumference standing on the same chord and in the same segment are equal.
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Angles in a semi circle
Angles at the circumference standing on a diameter are equal to 90 degrees
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Cyclic quadrilateral
A quadrilateral whose 4 vertices lie on the circumference of a circle is called a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral add up to 180 degrees.
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Tangents to a circle
A tangent to a circle is always perpendicular to a radius at the point of contact (90 degree angle). Two tangents drawn from the same point are equal in length.
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Alternate segment
The angle between a tangent and a chord is equal to any angle made by that chord in the alternate segment.
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Other cards in this set

Card 2

Front

Angles at the circumference standing on the same chord and in the same segment are equal.

Back

Angles in the same segment

Card 3

Front

Angles at the circumference standing on a diameter are equal to 90 degrees

Back

Preview of the back of card 3

Card 4

Front

A quadrilateral whose 4 vertices lie on the circumference of a circle is called a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral add up to 180 degrees.

Back

Preview of the back of card 4

Card 5

Front

A tangent to a circle is always perpendicular to a radius at the point of contact (90 degree angle). Two tangents drawn from the same point are equal in length.

Back

Preview of the back of card 5
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