To determine if Rectangle B is a scaled copy of Rectangle A, we need to verify two conditions:

1. Corresponding angles: Since both shapes are rectangles, all corresponding angles are right angles (90°), so they are identical.

2. Corresponding sides are proportional: We need to check if the side lengths of Rectangle B are proportional to those of Rectangle A.

• Rectangle A has side lengths 3 and 5.
• Rectangle B has side lengths 9 and 10.

To check if the sides are proportional, we calculate the ratios of corresponding sides:

• Ratio of shorter sides: $\frac{9}{3} = 3$
• Ratio of longer sides: $\frac{10}{5} = 2$

Since the ratios of the corresponding sides are not equal (3 and 2), Rectangle B is not a scaled copy of Rectangle A.

Would you like further details on this? Here are some related questions to explore:

1. What is the definition of similar figures in geometry?
2. How can you determine if two shapes are scaled copies?
3. What are some common real-world examples of scaled copies?
4. How would the dimensions of Rectangle B change if it were a scaled copy of Rectangle A?
5. Can two figures be similar even if they are not congruent?

Tip: When checking for scaled copies, always verify that the ratios of corresponding sides are equal.