To find the dimensions that represent a smaller scale drawing of the original photograph (6 inches by 4 inches), we need to consider how these options maintain the same aspect ratio while reducing the size.
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1 inch by 0.5 inches: This is a scaled-down version (1:6 scale) and maintains the aspect ratio of the original (6:4 or 3:2).
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12 inches by 8 inches: This is actually a larger version (2:1 scale) of the original dimensions, not a smaller one.
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1.5 inches by 1 inch: This does not maintain the correct aspect ratio (3:2), as 1.5:1 does not equal the original aspect ratio.
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2 inches by 1 inch: This also does not maintain the correct aspect ratio.
Among the responses, 1 inch by 0.5 inches represents a smaller scale drawing of the original printed photograph.