Let's analyze the question and the provided dimensions of the rectangles.

• Rectangle A: Length = 12, Width = 8
• Rectangle B: Length = 15, Width = 10
• Rectangle C: Length = 30, Width = 15

For two rectangles to be scaled copies, their corresponding length-to-width ratios must be equal.

1. Comparing Rectangle A and Rectangle B:

   • Rectangle A's ratio: $\frac{12}{8} = 1.5$
   • Rectangle B's ratio: $\frac{15}{10} = 1.5$

   Since the ratios are equal, Rectangle A is a scaled copy of Rectangle B.

2. Comparing Rectangle B and Rectangle A:

   • This is the same comparison as above but reversed. Therefore, Rectangle B is also a scaled copy of Rectangle A.

3. Comparing Rectangle A and Rectangle C:

   • Rectangle C's ratio: $\frac{30}{15} = 2$
   • Since $1.5 \neq 2$, Rectangle A is not a scaled copy of Rectangle C.

Thus, the answers to the dropdowns are:

1. Yes
2. Yes
3. No

Would you like more details or have any other questions?

Here are 5 related questions:

1. What is the general formula for determining if two rectangles are scaled copies?
2. How can the concept of scaling be applied to three-dimensional shapes?
3. If you were given other dimensions, how would you determine the scale factor between two rectangles?
4. What is the significance of proportionality in geometric scaling?
5. Can scaling apply to non-geometric concepts, such as maps or models?

Tip: To quickly check if two shapes are scaled copies, compare the ratios of their corresponding sides. If all ratios are equal, they are scaled copies.