Use the image to answer the question.

Question

An illustration shows 2 trapezoids labeled Figure 1 and Figure 2 placed on a 12 column by 6 row grid. Figure 2 is smaller and a mirror image of Figure 1. Figure 1 shows the top left vertex on the top of the 3rd row and the start of the 3rd column, the top right vertex is on the top of the 3rd row and the start of the 5th column, the bottom left vertex is on the bottom of the 4th row and the start of 3rd column, and the bottom right vertex is on the bottom of the 4th row and the end of the 5th column. Figure 2 shows the top left vertex on the middle of the 3rd row and the middle of the 9th column, the top right vertex on the middle of the 3rd row and the end of the 10th column, the bottom left vertex on the end of the 4th row and on the 8th column, and the bottom right vertex on the end of the 4th row and end of the 10th column.

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

(1 point)
Responses

translation and dilation
translation and dilation

rotation and dilation
rotation and dilation

dilation and reflection
dilation and reflection

reflection and translation
reflection and translation
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Answer 1

To determine the sequence of transformations that exhibits the similarity between Figures 1 and 2, we can analyze the characteristics mentioned:

1. Figure 2 is a smaller mirror image of Figure 1: This indicates that Figure 2 is a reflection of Figure 1.
2. The trapezoid in Figure 2 is scaled down compared to Figure 1: This indicates that a dilation transformation has occurred.

Given this analysis, the transformations that relate Figures 1 and 2 involve first applying a reflection to create the mirror image of Figure 1, followed by a dilation to scale it down to the size of Figure 2.

Therefore, the correct answer is:

dilation and reflection.