Prove that equal central angles in congruent circles intercept equal chords.
Proof:
Given: Two Congruent Circles \(C_1\) and \(C_2\)
\(CD\) is the chord of \(C_1\) and
\(YZ\) is the chord of \(C_2\)
Also, \( ∠COD = ∠YXZ \)
Proof:
In \(△COD\) and \(△YXZ\),
\(CO =\) ()
\(∠COD = ∠\) (Given)
\(DO = \) ()
\(△COD ⩭ △YXZ\) ()
Therefore, \(CD= \) ()