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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 & Corollaries
Date: ___________________________
Inscribed Angle-________________________________________________________
______________________________________________________________________
This inscribed angle intercepts an arc of Circle O. The ______________ is AC
Corollary 1: Inscribed
angles that intercept the
same arc are _________.
Corollary 2: An angle
inscribed inside of a
semicircle is a
___________.
Corollary 3: If a quadrilateral is
inscribed in a circle, then its
opposite angles are
____________.