Angles in Same Segment Flashcards

GCSE Mathematics (Edexcel) 1MA1

Angles in the same segment

Angles subtended by the same arc at the circumference of a circle are equal.

1 / 10
GenieCreated by Genie
10 Cards

Ready to master these flashcards?

Sign in to study with spaced repetition and track your progress.

Sign In to Track Progress

Terms in this set (10)

1

Angles in the same segment

Angles subtended by the same arc at the circumference of a circle are equal.

2

Subtended angle

An angle formed at a point on the circumference by two lines drawn from the ends of the same arc.

3

Arc

A part of the circumference of a circle.

4

Key property of angles in the same segment

Angles subtended by the same arc on the circumference are always equal.

5

Cyclic quadrilateral

A quadrilateral where all four vertices lie on the circumference of a circle.

6

Angles in a cyclic quadrilateral

Opposite angles in a cyclic quadrilateral add up to 180°.

7

Proof of angles in the same segment

This property is derived from the fact that the angle at the centre is twice the angle at the circumference.

8

Angle at the centre vs angle at the circumference

The angle subtended at the centre of a circle is twice the angle subtended at the circumference by the same arc.

9

Chord

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

10

Practical use of angles in the same segment

This property is used to solve problems involving circle theorems and to find missing angles in diagrams.

Genie

Want to Learn More?

Get personalised lessons, quizzes, and instant feedback from your AI tutor.

Start Learning