1. The problem asks us to identify which shapes among A, B, C, and D are polygons. 2. A polygon is a closed plane figure with straight sides. It must have at least three straight sides and no curved sides. 3. Shape A is a purple pentagon with 5 straight sides, so it is a polygon. 4. Shape B is an orange circle, which has a curved side and no straight sides, so it is not a polygon. 5. Shape C is a yellow irregular polygon with 5 sides, all straight, so it is a polygon. 6. Shape D is a blue shape with a curved side, so it is not a polygon. 7. Therefore, the polygons are shapes A and C.