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
dilation and reflection
dilation and reflection
rotation and dilation
rotation and dilation
translation and dilation
translation and dilation
reflection and translation
1 answer
The correct response is: dilation and reflection.
To explain, Figure 2 is a smaller version of Figure 1, indicating that a dilation (scaling down) has occurred. Additionally, since Figure 2 is a mirror image of Figure 1, a reflection transformation has also taken place. Thus, the sequence of transformations that shows the similarity between the two trapezoids involves both dilation and reflection.
