Chira's Copy of Rectangles on a Square's Diagonal
Sliding Down the Diagonal
1) Suppose point F moves along the diagonal of a square. What is the relationship between the areas of the two shaded rectangles as F moves? Explain you thinking.
2) What is the relationship between the areas of the two shaded rectangles when F moves along a diagonal o f a non-square rectangle? Explain your thinking. What is different from the situation of the square, and what is unchanged?