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An illustration shows five triangles labeled Figure 1 through Figure 5 placed on a 14 column by 12 row grid. Figures 1, 2, 3, and 5 are all the same size. Figure 4 is slightly larger. Figure 1 shows the top vertex on the top of the 3rd row and the start of the 3rd column. The bottom vertex is on the bottom of the 5th row and the start of the 3rd column. The right vertex is between the 3rd and the 4th rows and the end of the 4th column. Figure 2 shows the left vertex between the 3rd and 4th rows and the start of the 9th column. The top vertex in on the top of the 3rd row and the end of the 10th column. The bottom vertex is on the bottom of the 5th row and the end of the 10th column. Figure 3 shows the base left vertex on the bottom of the 6th row and the start of the 5th column. The base right vertex is on the bottom of the 6th row and the end of the 7th column. The top vertex is on the top of the 5th row and between the 5th and 6th columns. Figure 4 shows the base left vertex on the end of the 10th row and in the middle of the 7th column. The base right vertex is on the bottom of the 10th row and the middle of the 13th column. The top vertex is on the beginning of the 7th row and the middle of the 9th column. Figure 5 shows the top vertex on top of the 8th row and the start of the 3rd column. The bottom vertex is on the bottom of the 10th row and the start of the 3rd column. The right vertex is between the 8th and 9th rows and the end of the 4th column.

Which figure would result from rotating and dilating Figure 1?

(1 point)
Responses

Figure 4
Figure 4

Figure 5
Figure 5

Figure 2
Figure 2

Figure 3
Figure 3
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Answer 1

To determine which figure would result from rotating and dilating Figure 1, let's analyze their characteristics:

1. Figure 1 is described as having a specific position and orientation on the grid.
2. Figure 4 appears to be larger and has a different orientation than Figure 1, suggesting it may result from a dilation.
3. Figure 5 seems to have a different orientation than Figure 1 as well, but not necessarily larger.
4. Figure 2 is translated on the grid but maintains a similar shape as it is not mentioned to differ in size.
5. Figure 3 also has its description indicating it is positioned and oriented differently compared to Figure 1.

The key here is that a rotation does not alter the size, but dilation does, meaning the result should be a similar shape but potentially larger.

From the description, Figure 4 is larger and likely has a different orientation, possibly resulting from both rotation and dilation of Figure 1.

Therefore, the correct response is:

Figure 4