Reflexive Property

Symmetric Property

Transitive Property

Substitution

$\angle C\cong\angle C$ because of the vertical angles theorem

$\angle ACB\cong\angle ECD$ because of the vertical angles theorem

$\overline{CA}\cong\overline{CD}$ because of the definition of a midpoint

$\angle C\cong\angle C$ because of reflexive property of congruency

$\overline{TV}\cong\overline{TV}$ ; reflexive property of congruency

$\angle U\cong\angle S$ ; alternate interior angles theorem

$\overline{TU}\cong\overline{SV}$ ; definition of congruency

nothing is hidden, all of the congruent parts are marked

$\angle U\cong\angle S$ ; vertical angles theorem

$\overline{WA}\cong\overline{WA}$ ; reflexive property of congruency

$\angle Y\cong\angle Y$ ; vertical angles theorem

$\overline{WX}\cong\overline{ZA}$ ; definition of a parallel lines

nothing is hidden, all of the congruent parts are marked

$\angle WYX\cong\angle ZYA$ ; vertical angles theorem

$\angle C\cong\angle C$ ; reflexive property of congruency

$\angle DCF\cong\angle BCE$ ; vertical angles theorem

$\overline{EC}\cong\overline{CF}$ ; definition of a midpoint

nothing is hidden, all of the congruent parts are marked

$\angle C\cong\angle C$ ; vertical angles theorem