Question

Which triangles are congruent by ASA? A. Triangle UTV and triangle GFH. B. Triangle UTV and triangle BAC. Triangle BAC and triangle GFH. D. None of the above.

Answer 1

I don’t have the diagram or the congruence markings, so I can’t pick the correct option yet. To decide ASA you need two angles and the included side (the side between those two angles) to be congruent in the two triangles.

How to check each choice:
1. Identify two angles in the first triangle that are marked congruent to two angles in the second triangle.
2. Confirm that the side between those two angles in the first triangle is marked congruent to the corresponding side between the matched angles in the second triangle.
3. If both conditions hold, the triangles are congruent by ASA.

If you can either
- upload the diagram, or
- tell me which angle and side markings are shown (for example “∠U ≅ ∠G, ∠T ≅ ∠F, and side UT ≅ GF”),

I’ll check the three options (A, B, C) and tell you which is correct.