Use the image to answer the question.

Question

An illustration shows two rectangles of the same size and shape labeled Figure 1 and Figure 2 placed on a 9 column by 10 row grid. Figure 1 extends from the top of the 3rd row to the bottom of the 3rd row and the start of the 3rd column to the end of the 5th column. Figure 2 extends from the top of the 6th row to the bottom of the 8th row and the start of the 7th column to the end of the 7th column.

Describe the sequence of transformations that exhibits the similarity between Figures 1 and 2.

(1 point)
Responses

translation and reflection
translation and reflection

rotation and translation
rotation and translation

rotation and dilation
rotation and dilation

reflection and dilation
reflection and dilation
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Answer 1

To determine the sequence of transformations between Figures 1 and 2, we can analyze their positions on the grid.

1. Figure 1 occupies the area from the 3rd row (top) to the 3rd row (bottom), spanning from the 3rd column to the 5th column.
2. Figure 2 occupies the area from the 6th row (top) to the 8th row (bottom), spanning just the 7th column.

To move from Figure 1 to Figure 2, you would first need to:

• Translate Figure 1 down by 3 rows (from the 3rd row to the 6th row).
• Translate Figure 1 to the right by 2 columns (from the 3rd and 5th columns to the 7th column).

Since both figures are of the same size and shape, the correct answer describing the similarity transformation that maintains the proportions and angles would be:

translation and reflection.

Therefore, the correct answer here is translation and reflection.