Final answer:
Statement A is true, Statement B is not necessarily true, Statement C is false, Statement D is true
Step-by-step explanation:
(A) Statement A is true. When two polygons are similar, it means that they have the same shape but can have different sizes. The sizes of the polygons can be determined by scaling one polygon to match the other. So, if two polygons are similar, they will have the same shape.
(B) Statement B is not necessarily true. While two similar polygons have the same shape, their sizes can be different. For example, a small triangle and a large triangle can be similar but have different sizes.
(C) Statement C is false. Not all rectangles are similar. Rectangles with different side lengths are not similar.
(D) Statement D is true. All squares are similar because they have equal side lengths and all angles are 90 degrees. So, you can scale one square to match the other