To change a triangle into a parallelogram, one can create an exact copy of the triangle and align the long sides together, forming a parallelogram. Another method involves rotating the triangle 180 degrees around the midpoint of one of its sides, which also results in a parallelogram. The discussion highlights the simplicity of the task, leading to frustration about writing a paper on such a straightforward concept. Participants express a desire for more complex ideas to explore in the assignment. Overall, the conversation centers around methods of transforming a triangle into a parallelogram for a math project.