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Corresponding Parts of Congruent Triangles (CPCTC)

$Prove\ segment\ \overline{BC}\ is\ congruent\ to\ segment\ \overline{CE}.$

$given:\ \overline{AC}\cong\overline{DC}$

$\angle CDE\cong\angle CAB$

$\overline{AC}\cong\overline{DC} \Rightarrow given$
$\angle CDE\cong\angle CAB \Rightarrow given$
$\angle BCA\cong\angle DCE \Rightarrow vertical\ angles\ theorem$
$\Delta BAC\cong\Delta EDC\Rightarrow ASA\ (Angle\ Side\ Angle)$
$\overline{BC}\cong\overline{CE}\Rightarrow CDCTC$