Ask a New Question
Menu

Use the image to answer the 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

rotation and dilation
rotation and dilation

dilation and reflection
dilation and reflection

translation and dilation
translation and dilation

reflection and translation

1 answer

To determine the sequence of transformations that exhibit the similarity between Figures 1 and 2, we need to consider the characteristics of their positions and dimensions based on your description.

  1. Figure 1: The trapezoid's vertices are located at specific grid points on a 12 by 6 grid.
  2. Figure 2: This trapezoid is smaller, a mirror image of Figure 1, and has its vertices at specific grid points as well.

Since Figure 2 is a smaller version of Figure 1 and is described as a mirror image, this indicates two transformations are involved:

  • Dilation: This suggests that Figure 2 is a scaled-down version of Figure 1.
  • Reflection: Since Figure 2 is a mirror image of Figure 1, this implies there is a reflection transformation involved.

Based on this analysis, the correct sequence of transformations that relate Figures 1 and 2 is dilation and reflection.

Therefore, the correct response is:

dilation and reflection.