Explore

Alternate Segment Theorem Flashcards
GCSE Mathematics (Edexcel) 1MA1
Ready to master these flashcards?
Sign in to study with spaced repetition and track your progress.
Sign In to Track ProgressTerms in this set (10)
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.
Tangent
A straight line that touches a circle at exactly one point.
Chord
A straight line joining two points on the circumference of a circle.
Point of Contact
The point where a tangent touches the circle.
Alternate Segment
The region of the circle opposite to the angle formed by the tangent and chord.
Key property of the Alternate Segment Theorem
The angle between the tangent and chord equals the angle in the opposite segment of the circle.
Use of Alternate Segment Theorem
Used to find unknown angles in problems involving tangents and circles.
Diagram requirement for Alternate Segment Theorem
A tangent, a chord, and angles in the alternate segment must be present.
Proof of Alternate Segment Theorem
Not required for GCSE; focus is on understanding and applying the theorem.
Common mistake with Alternate Segment Theorem
Confusing the angle in the alternate segment with angles in the same segment.

Want to Learn More?
Get personalised lessons, quizzes, and instant feedback from your AI tutor.
Start Learning