In summary, you made conjectures about important ratios in similar figures. You generalized some of those ratios with algebraic expressions and applied those ratios to solve problems.

Below are two similar hexagons and two similar cylinders, each pair with a scale factor of 1.5.

similar hexagons with a scale factor of 1.5
similar cylinders with a scale factor of 1.5

The table below summarizes the relationships among the scale factor and ratios of the lengths of corresponding dimensions, perimeters, areas, and volumes (if they apply) for the hexagons and cylinders shown above.