Given: angle, A, C, E, \cong, angle, A, C, F, comma∠ACE≅∠ACF, angle, E, C, B, \cong,

Given: angle, A, C, E, \cong, angle, A, C, F, comma∠ACE≅∠ACF, angle, E, C, B, \cong, angle, F, C, D∠ECB≅∠FCD and start overline, B, C, end overline, \cong, start overline, D, C, end overline, .
BC ≅
DC .
Prove: start overline, A, B, end overline, \cong, start overline, A, D, end overline
AB ≅
AD .