## Proofs without Words | |

There are many facts which can be proved just by looking at a picture! For instance: ^{2} - y^{2} = (x+y) (x-y)is illustrated in Figure 1. At left is a large square (of side length x) with a small square (of side length y) cut out of the corner. (Thus its total area is x ^{2} - y^{2}).This figure can be cut into blue and green rectangles, and by rearranging them, we can form a rectangle of side lengths (x-y) and (x+y), on the right side of Figure 1!
You might challenge students to take any algebraic identity that they know and develop a proof without words. |

11:14 05/10/2018

# Proofs without Words

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