Similar Figures Quick Check

Question

4 of 54 of 5 Items

Question
Use the image to answer the question.

An illustration shows two rectangles of the same size and shape labeled Figure 1 and Figure 2 placed on a 9 column by 10 row grid. Figure 1 extends from the top of the 3rd row to the bottom of the 3rd row and the start of the 3rd column to the end of the 5th column. Figure 2 extends from the top of the 6th row to the bottom of the 8th row and the start of the 7th column to the end of the 7th column.

Describe the sequence of transformations that exhibits the similarity between Figures 1 and 2.

(1 point)
Responses

rotation and dilation
rotation and dilation

translation and reflection
translation and reflection

reflection and dilation
reflection and dilation

rotation and translation
rotation and translation
Skip to navigation

Answer 1

To determine the sequence of transformations that exhibits the similarity between Figures 1 and 2, let's analyze their positions on the grid:

1. Figure 1 occupies rows 3 and columns 3 to 5.
2. Figure 2 occupies rows 6 to 8 and column 7.

To align these figures in terms of transformations:

• It seems there will be a translation involved to move Figure 1 down to row 6.
• Since the shapes maintain the same dimensions and proportions, a dilation may not be necessary, as both figures are similar and retain the same size and shape.

Given these insights, the most plausible answer is translation and reflection. The translation would involve moving the rectangle down to the position of Figure 2 and then reflecting it to orient correctly in relation to the grid.

Therefore, the correct response is:

translation and reflection