#8.1 Similar Polygons

Polygons that have the same shape but may have different sizes. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

It means that the polygons have the same shape, with corresponding angles equal and corresponding sides in proportion.

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown length.

The ratio of the lengths of corresponding sides of two similar polygons.

For every 2 units of length in the first polygon, there are 3 units of length in the second polygon.

Check if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Yes, because the ratios of the corresponding sides (4:6, 6:9, 8:12) are all equal (2:3).

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

The ratio of their areas is 1:16, since (1^2):(4^2) = 1:16.

Set up a proportion using the known side lengths and solve for the unknown length.