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

rotation and dilation
rotation and dilation

translation and reflection
translation and reflection

rotation and translation
rotation and translation

reflection and dilation

Answer 1

To determine the sequence of transformations that exhibits the similarity between Figures 1 and 2, we can analyze their positions and dimensions as described.

Figures 1 and 2 are rectangles of the same size and shape but located in different positions on the grid. To establish similarity through transformations, we would typically consider the following:

1. Translation: This involves shifting Figure 1 to the position of Figure 2.
2. Reflection: This would indicate flipping Figure 1 over a line to match the orientation of Figure 2, if necessary.

Since both figures are of the same size and shape, no dilation or rotation would be necessary, as they do not require resizing or changing their orientation.

Based on the above, the correct sequence of transformations that exhibits the similarity between Figures 1 and 2 is:

translation and reflection.