Problem
(1) In the figure below, \( \overline{E B} \| \overline{C D} \). What can be concluded about \( \triangle A B E \) and \( \triangle A C D \) ? (A) The triangles are congruent because of angle-angle criterion. (B) The triangles are similar because of angle-angle criterion. (C) The triangles are neither similar nor congruent because angle-angle criterion has not been met. (D) There is not enough information to determine similarity or congruence. (c) 2019 The Math Café
Solution
Step 1 ：\( \overline{E B} \| \overline{C D} \)
Step 2 ：\( \angle ABE \cong \angle ACD \)
Step 3 ：\( \triangle A B E \sim \triangle A C D \)
