Use the image to answer the question.

An illustration shows four trapezoids labeled Figure 1, Figure 2, Figure 3 and Figure 4 that are placed on a 17 column by 15 row grid. Figures 1 and 2 are the same size, while Figure 3 is smaller than the others and Figure 4 is larger than the others. Figure 1 shows the top left vertex on top of the 3rd row and the end of the 3rd column, the top right vertex on top of the 3rd row and the start of the 6th column, the bottom left vertex on the bottom of the 4th row and the start of the 3rd column, and the bottom right vertex on the bottom of the 4th row and the end of the 6th column. Figure 2 shows the top left vertex on top of the 3rd row and the end of the 11th column, the top right vertex on top of the 3rd row and the start of the 14th column, the bottom left vertex on the bottom of the 4th row and the start of 11th column, and the bottom right vertex on the bottom of the 4th row and the end of the 14th column. Figure 3 shows the top left vertex on top of the 7th row and the middle of the 4th column, the top right vertex on the top of the 7th row and the start of the 5th column, the bottom left vertex on the bottom of 7th row and the start of the 4th column, and the bottom right vertex on the bottom of the 7th row and end of 5th column. Figure 4 is inclined at an angle. It shows the top left vertex on top of the 8th row and the middle of the 12th column, the top right vertex on the bottom of 9th row and the end of the 15th column, the bottom left vertex on the middle of the 10th row and start of 9th column, and bottom right vertex on the 14th row and 15th column.

Which figure would result from rotating and dilating Figure 1?

(1 point)
Figure

2 answers

Based on your description, Figure 1 has specific coordinates that place its vertices. If you rotate and dilate Figure 1, it may alter its dimensions and orientation, potentially matching another figure.

Given that Figure 2 is described as being the same size as Figure 1, it likely maintains similar coordinates as a result of rotation or reflection rather than dilation since dilation increases or decreases the size. However, the specific positions of Figure 2 indicate it is shifted horizontally but not necessarily a direct transformation of Figure 1 through simple rotation and dilation.

Figure 3 is smaller and thus could not be a result of dilation from Figure 1 without altering the shape significantly.

Figure 4, being larger and angled, suggests that it has undergone rotation or a complex transformation that would not align with a direct dilation.

Thus, the most likely candidate resulting from rotating and dilating Figure 1 is Figure 2, since it is the only figure of the same size with potentially responsive transformation properties.

Therefore, the answer is Figure 2.

The right answer is Figure 4
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