Circles - Basic Terms

GeometryWORKSHEET: Circle Theorems PERIOD: DATE:Inscribed Angl~sln~ ’(ibgdA~g~ - an angle whose vertex is on the circle and whose sides are chords ofthe circle.Theorem If an angle is inscribed in a circle, then the measure of the angle equa[sthe measure of the intercepted arc.Write an equation relating a and b in thediagram.Theorem If two inscribed angles intercept the same arc then the angles areDraw two inscribed angles on this circlethat demonstrate this theorem.Theorem If an inscribed angle qf a circle intercepts a semicircle, then the angle is aCreate a diagram to demonstrate this theorem / x,~Th eo remlf’a quadrilateral is inscribed in circle, then its opposite angles areCreate a diagram to demonstrate this theorem / ~