- If you fold a square piece of paper along one of its diagonals, like this:
then you get a figure like this:
What kind of triangle is this? What is the relationship between the area of this triangle and the area of the original square? Explain how you decided on the relationship.
- Where in the square below could you fold in order to construct a rectangle with exactly ½ the area of the square? How do you know your rectangle has exactly ½ the area of the square?