Question

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

Explanation:

Step1: Recall congruent - triangle property

When $\triangle TRS\cong\triangle VXW$, corresponding vertices are in the same order. The first - letter of the first triangle corresponds to the first - letter of the second triangle, the second - letter of the first triangle corresponds to the second - letter of the second triangle, and the third - letter of the first triangle corresponds to the third - letter of the second triangle.

Step2: Analyze each option

• For $\overline{RS}\cong\overline{VX}$, the order is wrong.
• For $\overline{TR}\cong\overline{XW}$, the order is wrong.
• For $\overline{ST}\cong\overline{WV}$, since $S$ corresponds to $X$, $T$ corresponds to $V$, $R$ corresponds to $W$, then $\overline{ST}$ (where $S$ and $T$ are vertices) corresponds to $\overline{WV}$ (where $W$ and $V$ are vertices) correctly.
• For $\angle T\cong\angle W$, $T$ corresponds to $V$, not $W$.

Answer:

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