Alternate Segment Theorem Flashcards

GCSE Mathematics (Edexcel) 1MA1

Alternate Segment Theorem

The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

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Terms in this set (10)

1

Alternate Segment Theorem

The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.

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Tangent

A straight line that touches a circle at exactly one point.

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Chord

A straight line joining two points on the circumference of a circle.

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Point of Contact

The point where a tangent touches the circle.

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Alternate Segment

The region of the circle opposite to the angle formed by the tangent and chord.

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Key property of the Alternate Segment Theorem

The angle between the tangent and chord equals the angle in the opposite segment of the circle.

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Use of Alternate Segment Theorem

Used to find unknown angles in problems involving tangents and circles.

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Diagram requirement for Alternate Segment Theorem

A tangent, a chord, and angles in the alternate segment must be present.

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Proof of Alternate Segment Theorem

Not required for GCSE; focus is on understanding and applying the theorem.

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Common mistake with Alternate Segment Theorem

Confusing the angle in the alternate segment with angles in the same segment.

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