Side, Perimeter, and Area Ratios of Similar Figures.

1. Check the "Side Ratio" box. Move point B around. What do you notice?[br]2. Are these polygons always similar? Explain.[br]3. Check the "Perimeter Ratio" box. Move point B around. What is the relationship between the ratio of sides and the ratio of perimeters?[br]4. Deselect the"Perimeter Ratio" box and check the "Area Ratio" Box. What is the relationship between the ratio of sides and the ratio of areas? HINT: Check the Square of Side ration box as well.[br]5. Complete the conjecture: If two pentagons are similar with the lengths of corresponding sides in the ratio of a:b, then the ratio of their areas is _________.[br]6. Do you think this conjecture holds true for other polygons? Explain.