Question

congruency of triangles quick check
given △trs≅△vxw, which of the following corresponding pairs is correct? (1 point)
○ $overline{st}congoverline{wv}$
○ $overline{rs}congoverline{vx}$
○ $angle tcongangle w$
○ $overline{tr}congoverline{xw}$

Explanation:

Step1: Recall congruent - triangle properties

When $\triangle TRS\cong\triangle VXW$, corresponding vertices are matched. $T$ corresponds to $V$, $R$ corresponds to $X$, and $S$ corresponds to $W$.

Step2: Identify corresponding sides

For sides, $\overline{ST}$ in $\triangle TRS$ corresponds to $\overline{WV}$ in $\triangle VXW$ as per the order of corresponding vertices. Other options are incorrect: $\overline{RS}$ corresponds to $\overline{XW}$, $\angle T$ corresponds to $\angle V$, and $\overline{TR}$ corresponds to $\overline{VX}$.

Answer:

$\overline{ST}\cong\overline{WV}$