Question

Please help . In the figure, ∆BAT ≅ ∆CAT. Which statement is not true by CPCTC?

Answer 1

Answer:

  $\overline{CS}\cong\overline{ST}$

Step-by-step explanation:

The congruence statement for the triangles does not list point (or angle) S, so no claim about segments or angles involving S will be supported by the congruence statement.

The statement

  $\Delta BAT\cong\Delta CAT$ tells you ...

     $\angle TBA\cong\angle TCA\\\angle BAT\cong\angle CAT\\\angle ATB\cong\angle ATC\\\overline{BA}\cong\overline{CA}\\\overline{AT}\cong\overline{AT}\\\overline{TB}\cong\overline{TC}$

No other claims can be made using CPCTC. The statement among the answer choices that is not true by CPCTC is ...

  $\boxed{\overline{CS}\cong\overline{ST}}$