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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.

Is Rectangle B a scaled copy of Rectangle A? Do the corresponding angles in Rectangle A and Rectangle B have the same measures?

Explore how to determine if Rectangle B is a scaled copy of Rectangle A by analyzing corresponding angles and the ratio of side lengths. This problem covers key concepts in geometry, including scaled copies, proportional relationships, and the scale factor theorem. Suitable for Grades 6-8.

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