Similar Polygons Advanced

Polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

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

By using the AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity criteria.

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

A statement that indicates that two figures are similar, typically written in the form ΔABC~ΔDEF.

Set up a proportion using the lengths of corresponding sides and solve for the unknown length.

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

The ratio of their areas is 9:4, since (3/2)² = 9/4.