To create a smaller scale drawing of the original photograph (6 inches by 4 inches), the dimensions must maintain the same aspect ratio while being smaller in size.
The aspect ratio of the original photograph is 6:4, which can be simplified to 3:2.
Now, let's analyze the provided options to see which dimensions keep this aspect ratio and are smaller than the original:
- 2 inches by 1 inch: This simplifies to 2:1 (not the same aspect ratio).
- 1 inch by 0.5 inches: This simplifies to 2:1 (not the same aspect ratio).
- 1.5 inches by 1 inch: This simplifies to 3:2 (same aspect ratio as the original).
- 12 inches by 8 inches: This simplifies to 3:2 (same aspect ratio, but larger than the original).
The only set of dimensions that represents a smaller scale drawing of the original photograph while maintaining the aspect ratio is:
1.5 inches by 1 inch