Question

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

Explanation:

When two triangles are congruent, their corresponding parts (sides and angles) are congruent. The order of the letters in the congruence statement $\triangle TRS\cong\triangle VXW$ gives the correspondence.

• For $\overline{TR}\cong\overline{XW}$: In $\triangle TRS$ and $\triangle VXW$, $TR$ corresponds to $VX$ (not $XW$) based on the order of congruence.
• For $\angle T\cong\angle W$: $\angle T$ corresponds to $\angle V$ (not $\angle W$) based on the order of congruence.
• For $\overline{RS}\cong\overline{VX}$: $RS$ corresponds to $XW$ (not $VX$) based on the order of congruence.
• For $\overline{ST}\cong\overline{WV}$: In $\triangle TRS$, the side $ST$ (where $S - T$) and in $\triangle VXW$, the side $WV$ (where $W - V$). Since $\triangle TRS\cong\triangle VXW$, when we consider the order of vertices, $S$ corresponds to $W$ and $T$ corresponds to $V$. So, $\overline{ST}\cong\overline{WV}$

Answer:

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