Question

if △uts ≅ △wxy, what are the corresponding parts? select all that apply.
(overline{tu}congoverline{xw}) (overline{ts}congoverline{yw}) (angle ucongangle w) (angle tcongangle w)

Explanation:

Step1: Recall congruent - triangle property

When $\triangle UTS\cong\triangle WXY$, corresponding vertices are in the same order. So, $U$ corresponds to $W$, $T$ corresponds to $X$, and $S$ corresponds to $Y$.

Step2: Identify corresponding sides

Corresponding sides are $\overline{TU}$ and $\overline{XW}$, $\overline{TS}$ and $\overline{XY}$, $\overline{US}$ and $\overline{WY}$. So, $\overline{TU}\cong\overline{XW}$ is correct.

Step3: Analyze other side - option

$\overline{TS}\cong\overline{YW}$ is incorrect as $\overline{TS}$ should be congruent to $\overline{XY}$.

Step4: Identify corresponding angles

Corresponding angles are $\angle U$ and $\angle W$, $\angle T$ and $\angle X$, $\angle S$ and $\angle Y$. So, $\angle U\cong\angle W$ is correct and $\angle T\cong\angle W$ is incorrect as $\angle T$ corresponds to $\angle X$.

Answer:

$\overline{TU}\cong\overline{XW}$, $\angle U\cong\angle W$