Final Answer:
When two polygons are scaled copies of each other, certain properties hold true. Among the given statements: Corresponding angles of similar polygons are equal is true. In similar polygons, corresponding sides are proportional is true. Scaled copies of polygons have the same number of sides is true. The areas of similar polygons are proportional to the square of the ratio of their corresponding sides, not necessarily equal is false. Therefore, statements 1, 2, and 3 are true, but statement 4 is false.
Step-by-step explanation:
When two polygons are scaled copies of each other, certain properties hold true:
The corresponding angles of the two polygons are equal:
1) True. Corresponding angles of similar polygons are equal. If polygon ABC is a scaled copy of polygon PQR, their corresponding angles are equal.
The corresponding sides of the two polygons are proportional:
2) True. In similar polygons, corresponding sides are proportional. If ABC is a scaled copy of PQR, the ratio of corresponding sides is constant.
The two polygons have the same number of sides:
3) True. When one polygon is a scaled copy of another, they have the same number of sides, but the lengths may differ.
The two polygons have the same area:
4) False. The areas of similar polygons are proportional to the square of the ratio of their corresponding sides. While the sides are proportional, the areas are not necessarily equal.
Therefore, statements 1, 2, and 3 are true, but statement 4 is false.