13.If triangleABC IS CONGRUNT TO TRIANGLE ADC , which is true by CPCTC?
\(If~\triangle{ABC}~is~congruent~to~\triangle{ADC},~which~is~true~by~CPCTC?\) \(\angle{ABE} = \angle{EDC}\) \( BC = DC\) \(AC~bisects~BD\) \(\angle{BAC} = \angle{DCA}\)
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OK, so the = above should be \(\cong\) Sorry.
\(\angle{ABE}\) is not congruent to \(\angle{EDC}\) because, while A corresponds to A and B corresponds to D, E does not correspond to C. \(\overline{BC} \cong \overline{DC} \) They are corresponding sides. \(\overline{AC}\) bisects \(\overline{BD}\) - not true because \(\overline{AE}\) is shorter than \(\overline{EC}\). \(\angle{BAC} \cong \angle{DCA}\) - not true because they are not corresponding angles.
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