Question

A rectangle split into four separate and equal boxes shows four illustrations with corresponding labels as follows: Figure 1: chair; figure 2: tree; figure 3: nut; and figure 4: house.
Which scale drawing is a dilation that increased the size of the original object it represents

Answer 1

I can't see the four drawings from your description. Could you upload the image or describe how each scale drawing compares to its original (for example: "the chair drawing is larger/smaller and measures X by Y; the tree drawing is larger/smaller and measures…")?

Meanwhile, here’s how you can tell which one is a dilation that increased the size:

1. Identify corresponding lengths on the original and on the scale drawing (pick an obvious distance such as the height or width).
2. Compute the scale factor = (length on scale drawing) ÷ (length on original).
- If the scale factor > 1, the image was dilated and increased in size.
- If the scale factor = 1, it is congruent (no change).
- If the scale factor < 1, it was reduced.
3. (Optional check) Make sure the transformation is a true dilation: lines from the center of dilation through corresponding points should be collinear and all lengths from the center should be multiplied by the same scale factor.

If you upload the picture or give the measurements or tell me which of the four looks larger, I’ll determine which figure is a dilation that increased the size.