To determine which scale drawing represents a dilation that increased the size of the original object, we need to consider that a dilation transforms an object by enlarging or reducing its size while maintaining its shape. Typically, if a drawing shows an object larger than the original, it is a dilation that enlarges the object.
Since you provided a list of figures (chair, tree, nut, house), without visual representations or dimensions, one would logically conclude that any drawing in the scale that appears larger compared to its original representation would be the correct answer.
If you know which figure (chair, tree, nut, or house) appears enlarged in comparison to the original size, that would indicate which figure is the dilation that increased size. Please specify the figures' sizes relative to their originals for a more accurate determination.