Given triangle $△abc$, which triangle is congruent to $△abc$ by the ASA (Angle-Side-Angle) criterion?

• A. A triangle with two sides and a non-included angle equal to those of $△abc$
• B. A triangle with two angles equal to those of $△abc$ and the included side equal to the corresponding side of $△abc$
• C. A triangle with all three angles equal to those of $△abc$
• D. A triangle with all three sides equal to those of $△abc$

Answer: (B)

Verified step by step guidance

1. Recall the ASA (Angle-Side-Angle) congruence criterion: two triangles are congruent if two angles and the included side of one triangle are respectively equal to two angles and the included side of the other triangle.
2. Identify that the 'included side' means the side that lies between the two given angles in the triangle.
3. Compare the options given: the correct triangle must have two angles equal to those of triangle \( \triangle abc \) and the side between those two angles equal to the corresponding side in \( \triangle abc \).
4. Note that a triangle with two sides and a non-included angle equal does not satisfy ASA, because the side must be between the two angles, not adjacent to only one angle.
5. Conclude that the triangle congruent by ASA is the one with two angles equal to those of \( \triangle abc \) and the included side equal to the corresponding side of \( \triangle abc \).