Question

question 14 of 25 if △stu≅△abc, which congruences are true by cpctc? check all that apply. a. $overline{st}congoverline{ac}$ b. $angle scongangle a$ c. $overline{tu}congoverline{bc}$ d. $angle ucongangle b$ e. $overline{su}congoverline{bc}$ f. $angle tcongangle b$

Explanation:

Step1: Recall CPCTC concept

CPCTC stands for Corresponding - Parts of Congruent Triangles are Congruent. If \(\triangle STU\cong\triangle ABC\), then the corresponding vertices are \(S\) and \(A\), \(T\) and \(B\), \(U\) and \(C\).

Step2: Check side - congruences

The corresponding sides are: \(\overline{ST}\) corresponds to \(\overline{AB}\), \(\overline{TU}\) corresponds to \(\overline{BC}\), and \(\overline{SU}\) corresponds to \(\overline{AC}\).

Step3: Check angle - congruences

The corresponding angles are: \(\angle S\) corresponds to \(\angle A\), \(\angle T\) corresponds to \(\angle B\), and \(\angle U\) corresponds to \(\angle C\).

Answer:

B. \(\angle S\cong\angle A\)
C. \(\overline{TU}\cong\overline{BC}\)
F. \(\angle T\cong\angle B\)