I feel silly but I can’t even get past #3! How do you fold the square to make a triangle that is 1/4 the area of the original square that is not congruent to the first one? Every attempt I make no matter how I fold it ends up being the same triangle.
Ignore the folds on the paper. They are distracting and might be inadvertently leading you to add constraints where there aren’t any.
I am sending a few hints. Start with a fresh paper, fold it in half and ask, “Why can’t the non-congruent triangle come out of a rectangle?” Do you see it now? I don’t think the later tasks had to be “added on” to what was done before.
As I read the task, I thought I would have extra squares of paper ready for when students asked for it or when they started to say the folds were adding a distraction.