(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

Answer

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Answer

\( \triangle A B E \sim \triangle A C D \)

Steps

Step 1 ：\( \overline{E B} \| \overline{C D} \)

Step 2 ：\( \angle ABE \cong \angle ACD \)

Step 3 ：\( \triangle A B E \sim \triangle A C D \)