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

rotation and dilation
rotation and dilation

translation and dilation
translation and dilation

dilation and reflection
dilation and reflection

Answer 1

To determine the sequence of transformations that exhibits the similarity between Figures 1 and 2, we need to analyze the descriptions of the figures.

1. Reflection: Figure 2 is described as a mirror image of Figure 1. This indicates that a reflection transformation is involved, where Figure 1 is flipped along a line (presumably the vertical axis between them).

2. Dilation: It's also mentioned that Figure 2 is smaller than Figure 1, which indicates that Figure 2 is a scaled-down version of Figure 1. This means a dilation transformation where Figure 1 is reduced in size to create Figure 2.

Based on this analysis, the appropriate sequence of transformations that relates Figures 1 and 2 is:

dilation and reflection.

Thus, the correct response is: dilation and reflection.