To determine whether the pair of figures (rectangles labeled A and B) represents an original figure and its scaled copy, we need to check if their dimensions follow a consistent scale factor in both directions (width and height).

1. Dimensions of Rectangle A (Red):

   • Width: 5 units (spanning 5 grid squares horizontally).
   • Height: 4 units (spanning 4 grid squares vertically).

2. Dimensions of Rectangle B (Purple):

   • Width: 3 units (spanning 3 grid squares horizontally).
   • Height: 3 units (spanning 3 grid squares vertically).

Scale Factor Check:

For the rectangles to be scaled copies, the ratio of the widths must equal the ratio of the heights. Let’s check:

• Width ratio: $\frac{5}{3}$
• Height ratio: $\frac{4}{3}$

Since the width ratio and height ratio are not equal ($\frac{5}{3} \neq \frac{4}{3}$), these figures are not scaled copies of each other.

The answer to the question is No, they are not a scaled copy.

Would you like further clarification or details?

Relative questions:

1. How do you calculate a scale factor between two shapes?
2. What makes two figures similar in geometry?
3. Can a figure have different scale factors for width and height?
4. How would the answer change if both figures were squares?
5. What is the relationship between area and scale factor?

Tip: When comparing figures, always check both width and height ratios to confirm if they are scaled versions of each other.