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

reflection and translation
reflection and translation

dilation and reflection
dilation and reflection

rotation and dilation
rotation and dilation

translation and dilation
translation and dilation

Answer 1

To determine the sequence of transformations that exhibits the similarity between Figures 1 and 2, let's analyze the described positions of both trapezoids.

1. Reflection: Figure 2 is described as a mirror image of Figure 1. This suggests that a reflection has taken place, likely across a vertical line that bisects the space between the two trapezoids.

2. Dilation: Figure 2 is smaller than Figure 1, indicating that there has been a change in size. This can be attributed to a dilation, which uniformly scales down the dimensions of Figure 1 to create Figure 2.

Based on this analysis, the correct sequence of transformations that results in the similarity between Figures 1 and 2 is:

dilation and reflection.

So the correct response is: dilation and reflection.