Question

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

Answer 1

`\overline{CS}\cong\overline{ST}`

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}}`