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
Skip to navigation

Answer 1

To determine the sequence of transformations that shows the similarity between Figures 1 and 2, we analyze their descriptions:

1. Figure 2 is a mirror image of Figure 1: This indicates that a reflection has occurred. Since Figure 2 is positioned differently but maintains the same shape and angles as Figure 1, a reflection must be involved.

2. Smaller size of Figure 2: The mention of Figure 2 being smaller implies that a dilation (scaling down) has also taken place.

Given this analysis, the set of transformations that maintains the similarity between the two trapezoids is:

Dilation and reflection.

Thus, the correct response is:

dilation and reflection