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Question

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 3
Figure 3

Figure 4
Figure 4

Figure 2
Figure 2

Figure 5
Figure 5
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Answer 1

Based on the description provided, it seems that Figure 1 is a triangle with its top vertex at row 3 and column 3, and it extends down to row 5 in the same column. The right vertex is between rows 3 and 4 at column 4.

To find which figure results from rotating and dilating Figure 1, we should consider their positions and dimensions:

• Figure 2 will not match because it is positioned more towards the right side of the grid.
• Figure 3 has a different base placement and does not match the transformation of Figure 1.
• Figure 4 is described as larger and would not be a direct result of dilation of Figure 1.
• Figure 5 has a different orientation and position compared to Figure 1.

The best match for a rotated and dilated version of Figure 1 is Figure 3. Given that the shape in Figure 3 is placed differently, but maintains some characteristics related to the rotation and dilation of Figure 1.

Therefore, the correct answer is:

Figure 3