Question

question 18 of 45 which statement must be true if △rst≅△xyz? a. (overline{rt}congoverline{xy}) b. (angle scongangle x) c. (angle tcongangle x) d. (overline{rs}congoverline{xy})

Explanation:

When two triangles $\triangle RST$ and $\triangle XYZ$ are congruent ($\triangle RST\cong\triangle XYZ$), their corresponding parts are congruent. The order of the vertices in the congruence statement indicates the corresponding vertices. $R$ corresponds to $X$, $S$ corresponds to $Y$, and $T$ corresponds to $Z$. Corresponding sides are congruent, so $\overline{RS}$ corresponds to $\overline{XY}$, $\overline{ST}$ corresponds to $\overline{YZ}$, and $\overline{RT}$ corresponds to $\overline{XZ}$. Also, corresponding angles are congruent: $\angle R\cong\angle X$, $\angle S\cong\angle Y$, and $\angle T\cong\angle Z$.

Answer:

D. $\overline{RS}\cong\overline{XY}$