Analyze and generalize about the relationships between:

• the corresponding sides of two or more polygons that have corresponding angles of equal measure
• the corresponding angles of two or more polygons that have corresponding sides that are proportional.

Develop, generalize, explain, and apply strategies for determining if two or more convex polygons (regular or irregular) are similar.

Verify whether two or more given polygons are similar.

Draw polygons that are similar to a given polygon using measuring tools and technology, explain the strategies used, and justify why the polygons are similar.

Apply knowledge and skills related to similar polygons to solve situational questions relevant to self, family, or community that involve right triangles with a shared acute angle (e.g., determining the height of a tree).

Create and solve situational questions relevant to self, family, or community that involve similarity of polygons.

Critique the statement “All congruent polygons are similar and all similar polygons are congruent”.