Construct a square with exactly ¼ the area of the original square. Convince yourself and

then your partner that it is a square and has ¼ of the area.

Construct a square with exactly ½ the area of the original square. Convince yourself and

then your partner that it is a square and has ½ of the area.

Construct another square, also with ½ the area, that is oriented differently from the

one you constructed in #4. Convince yourself and then your partner that it has ½ of the

area.

Construct a triangle with exactly ¼ the area of the original square. Convince yourself

and then your partner that it has ¼ of the area.

Construct another triangle, also with ¼ the area, that is not congruent to the first one

you constructed. Convince yourself and then your partner that it has ¼ of the area.