Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

given $\triangle trscong\triangle vxw$, which of the following correspo…

Question

given $\triangle trscong\triangle vxw$, which of the following corresponding pairs is correct? (1 point)
$overline{tr}congoverline{xw}$
$angle tcongangle w$
$overline{rs}congoverline{vx}$
$overline{st}congoverline{wv}$

Explanation:

Step1: Recall congruent - triangle properties

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

Step2: Analyze side - correspondence

The corresponding sides are: $\overline{TR}\cong\overline{VX}$, $\overline{RS}\cong\overline{XW}$, $\overline{ST}\cong\overline{WV}$.

Step3: Analyze angle - correspondence

The corresponding angles are: $\angle T\cong\angle V$, $\angle R\cong\angle X$, $\angle S\cong\angle W$.

Answer:

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