2025年12月美国B卷 · 第 21 题

In triangle ABC and triangle XYZ , the measures of angles A and X  are each \( 20^{∘} \) , and the lengths of \( AB \) and \( XY \) are each 16 centimeters. Which of the following additional pieces of information is(are) sufficient to prove that triangle ABC is congruent to triangle XYZ?

I. The measures of angles C and Z are each \( 25^{∘} \).
II. \( \frac{\overline{AB}}{\overline{AC}}=\frac{\overline{XY}}{\overline{XZ}} \)