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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 2
Figure 2

Figure 4
Figure 4

Figure 3
Figure 3

Figure 5
Figure 5
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Answer 1

To determine which figure could result from rotating and dilating Figure 1, let's analyze the descriptions provided for each figure:

• Figure 1: Its vertices are positioned in the 3rd row and 3rd column (high point), down to the 5th row, also centered in the 3rd column, and the right vertex in the 4th column.

• Figure 2: Its top vertex is in the 3rd row, but it is in the 10th column, with the bottom vertex at the same row level (5th row) in the 10th column as well. The left vertex is between the 3rd and 4th rows at the beginning of the 9th column.

• Figure 3: The left base vertex is at the bottom of the 6th row and the 5th column, with the right base vertex at the bottom of the same row and the 7th column, and the top vertex is between those two columns at the top of the 5th row.

• Figure 4: Is larger and its layout is different from Figure 1, with its vertices spread across more columns and rows.

• Figure 5: Has a top vertex in the 8th row and 3rd column, with its bottom at the 10th row in the same column and the right vertex between the 8th and 9th rows in the 4th column.

From the characteristics, it appears that Figure 3 shares a similar triangular orientation with Figure 1 but is relocated, indicating it could be the result of a rotation and dilation. Therefore, the answer is:

Figure 3.