Geometry/Trig 2 Name: __________________________Fill In Notes – 9.4 Chords and Arcs Date: ___________________________

Arcs can be formed by figures other than central angles. Arcs can be formed by _________________________________________________________ .Chord __ creates intercepted minor arc __ and intercepted major arc ___

Theorem 9-4 : In the same circle, _________ chords create _______ intercepted arcs.If ______________________Then _________________________

Example 1 Example 2

Geometry/Trig 2 Name: __________________________Fill In Notes – 9.4 Chords and Arcs Date: ___________________________

Theorem 9-5: A diameter that is __________ to a chord bisects the chord and its intercepted arc. If _____________, then ______________________________

Example: Given: AB is a diameter of circle Q; AB =10, LM=8. Find CA.

Theorem 9-6: In the same circle (or __ circles):1.Chords equally distant from the center are _______2.Congruent chords are equally distant from ______________.

Example: FQ=QG=9; CB=24. Find the length of the radius of circle Q

Geometry/Trig 2 Name: __________________________Fill In Notes – 9.5 Inscribed Angles & CorollariesDate: ___________________________

Inscribed Angle-______________________________________________________________________________________________________________________________

Corollary 2: An angle inscribed inside of a semicircle is a ___________.

This inscribed angle intercepts an arc of Circle O. The ______________ is AC

Corollary 1: Inscribed angles that intercept the same arc are _________.

Corollary 3: If a quadrilateral is inscribed in a circle, then its opposite angles are ____________.