Respuesta :

Corresponding sides and angles of congruent triangles are congruent.

[tex]\triangle{BAT} \cong \triangle{CAT} \\ \\BA=CA \\AT=AT \\BT=CT \\ \angle{TBA}=\angle{TCA} \\ \angle{BAT}=\angle{CAT} \\ \angle{ATB}=\angle{ATC}[/tex]

So, the answer is [tex]\angle{BAT}=\angle{CAT}[/tex]
JeanaShupp

Answer: C. ∠BAT=∠CAT


Step-by-step explanation:

  • CPCTC is an acronym for corresponding parts of congruent triangles are congruent.
  • CPCTC tells that if two triangles are congruent then the corresponding parts of the triangles are congruent.

If ΔBAT≅ΔCAT

Then its corresponding parts are equal such that:

∠BAT=∠CA, ∠ABT=∠ACT and ∠ATB=∠ATC

BA=CA , BT=CT and AT=AT

Therefore, C is the right answer.

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