Circle Theorem: Angles in the Same Segment Are Equal (Mathematics Lesson)
Circle Theorem: Angles in the Same Segment Are EqualAll triangles drawn from a chord in a circle make the same angle at the circumference.
How to Use the Circle Theorem that the Angles in the Same Segment Are EqualQuestion: What is the angle θ in the circle below?
The angles subtended by the chord at the circumference of the circle are equal.
θ = 40°
A Real Example of How to Use the Circle Theorem that the Angles in the Same Segment Are EqualThe slider below shows a real example of the circle theorem that the angles in the same segment are equal:
USEFUL DEFINITIONSA chord is a line whose endpoints lie on the circle.
A segment is a region, not containing the center, bounded by a chord and an arc lying between the chord's endpoints.