The previous task asked you to select the rectangle that did not represent an enlargement of the given rectangle. Explain how you determined which rectangle was not an enlargement.

Answer 1

To determine which rectangle did not represent an enlargement of the given rectangle, I would follow these steps:

1. Compare Dimensions: I would examine the dimensions (length and width) of the original rectangle compared to each of the provided rectangles. An enlargement means that both the length and width of a rectangle should be greater than those of the original rectangle.

2. Calculate the Aspect Ratio: I would also consider the aspect ratio, which is the ratio of the length to the width. An enlargement should maintain the same aspect ratio as the original.

3. Look for Decrease in Size: If any rectangle has either dimension (length or width) that is smaller than the corresponding dimension of the original rectangle, it would not qualify as an enlargement.

4. Examine Scale Factors: I could calculate the scale factor used for enlargement by dividing the dimensions of the new rectangles by those of the original. A scale factor greater than 1 indicates an enlargement, while a factor less than 1 indicates a reduction.

By applying these criteria, I would identify the rectangle that does not fit the pattern of being larger than the original rectangle in both dimensions or that has a scale factor of 1 or less. This systematic approach would allow me to conclude which rectangle did not represent an enlargement.