To determine which figure would result from rotating and dilating Figure 1, we need to analyze the geometric transformations involved.
Figure 1 has:
- A top vertex located at (3rd row, 3rd column)
- A bottom vertex at (5th row, 3rd column)
- A right vertex at (between 3rd and 4th rows, 4th column)
Figure 5 has:
- A top vertex at (8th row, 3rd column)
- A bottom vertex at (10th row, 3rd column)
- A right vertex at (between 8th and 9th rows, 4th column)
Observing the relative positioning:
- The left-to-right alignment remains the same in both figures.
- Figure 5 is located further down the grid compared to Figure 1.
To rotate Figure 1, the orientation of the triangle changes, and it needs to be compared with other figures to see if it matches with any through rotation and dilation.
Figures 2, 3, and 4 can similarly be analyzed for alignment of their vertices and respective placements within the grid. However, only Figure 5 retains the corresponding left-to-right edge orientation and the overall triangular shape after adjusting for size changes.
By interpreting dilation (scaling the triangle size) and the rotation needed to align with Figure 5, we conclude that Figure 5 is likely the product of rotating and dilating Figure 1.
Thus, the answer is: Figure 5.