Answer: [tex]\overline{BA}\cong\overline{CA}[/tex]
Step-by-step explanation:
Given : [tex]\triangle {BAT}\cong\triangle{CAT}[/tex]
The CPCTC property of congruent triangles says that the corresponding parts of congruent triangles are congruent.
Therefore, the the corresponding angles and sides of [tex]\triangle {BAT}\text{ and }\triangle{CAT}[/tex] are congruent.
i.e. [tex]\angle {BAT}\cong\angle{CAT}[/tex]
[tex]\angle {ATB\cong\angle{ATC}\\\\\[/tex]
[tex]\angle {TBA}\cong\angle{TCA}[/tex]
and
[tex]\overline{BA}\cong\overline{CA}\\\\\overline{AT}\cong\overline{AT}\\\\\overline{TB}\cong\overline{TC}[/tex]
So, from all the options [tex]\overline{BA}\cong\overline{CA}[/tex] is the true option.
