# Angles in the Same Segment are Equal +-- {.image } [[AnglesSameSegment.png:pic]] =-- Start with a [[chord]] drawn in a circle and join the ends to a point on the circumference of that circle. The angle formed depends only on which segment the point lies in. This is a simple consequence of the fact that the [[angle at the circumference is half that at the centre]]. Since the angle at the centre doesn't depend on where the point on the circumference is chosen, the angle at the circumference also doesn't depend on this choice. category: circle theorems [[!redirects Angles in the same segment]] [[!redirects Angles in the Same Segment]] [[!redirects angles in the same segment are equal]] [[!redirects Angles in the same segment are equal]] [[!redirects Angles in the Same Segment Are Equal]]