To prove that triangle
The most suitable option that demonstrates the ASA criterion involves rotating and reflecting the triangles in a way that aligns the angles and sides correctly.
Among the options provided, the second option appears to be the best approach:
- Rotate
90 degrees (counterclockwise) about vertex , and then reflect across .
This shows a combination of a rotation that maintains angle A and angle C, and a reflection that will maintain the corresponding sides as well, effectively showing that the angles and the included sides (the ones between them) align accordingly, which is essential for proving similarity via the ASA criterion.
Thus, the correct choice is:
• Rotate AABC 90 degrees (counterclockwise) about vertex C, and then reflect AA' B'C" across C'A'.