Similar figures are two or more polygons that are related by a scale factor. They have the same shape, but their sizes are proportional. The three rhombuses shown below are all similar. The green arrows indicate the scale factors used to generate the second rhombus from the first rhombus.

You will investigate the relationship of the sides of similar figures by looking at patterns formed by the ratios. Recall that similar figures have the same shape and may have a different size.

In order to make conjectures about the relationships that you see, you will use the patterns that you notice among sets of similar figures. Some of the conjectures will involve algebraic expressions, and some will involve numerical or verbal descriptions.