In otherwords, = +.CongruentChordsHaveCongruentMinorArcs
In the samecircleor congruentcircles,congruentchordshavecongruentminorarcs.
Proof. Drawthe followingdiagram,in whichthe chords and are congruent.
Construct and by drawingthe radii for the center to points and respec-
tively.
Then, by the postulate.
This meansthat centralangles, , whichleadsto the conclusionthat.
CongruentMinorArcsHaveCongruentChordsand CongruentCentralAngles
In the samecircleor congruentcircles,congruentchordshavecongruentminorarcs.
Proof. Drawthe followingdiagram,in whichthe. In the diagram , , , and
are radii of the circle.