Use the image to answer the question.

Question

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 9 to 9 in increments of 1. Three rectangles are formed by lines joining four plotted points each. The coordinates of the plotted points for first rectangle joined by solid lines are left parenthesis negative 5 comma negative 4 right parenthesis, left parenthesis negative 1 comma negative 4 right parenthesis, left parenthesis negative 1 comma negative 6 right parenthesis, and left parenthesis negative 5 comma negative 6 right parenthesis. The coordinates for the second rectangle joined by lines made of dashes and dots are left parenthesis 3 comma 4 right parenthesis, left parenthesis 5 comma 4 right parenthesis, left parenthesis 5 comma 8 right parenthesis, and left parenthesis 3 comma 8 right parenthesis. The coordinates of the plotted points for the third rectangle joined by dotted lines are left parenthesis negative 4 comma 1 right parenthesis, left parenthesis negative 6 comma 1 right parenthesis, left parenthesis negative 6 comma 5 right parenthesis, and left parenthesis negative 4 comma 5 right parenthesis.
The first step to determine that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I was to rotate the first rectangle 90 degrees clockwise about the origin. What is the next step?

translate by (_)

GPT 3.5 · Answer

The next step is to translate the rectangle in Quadrant I so that its corresponding vertices align with the vertices of the rectangle in Quadrant III. The specific translation needed would depend on the coordinates of the vertices of the rectangles. Without more specific information, it is not possible to determine the exact translation.

Joc · Answer

What do I translate it by?

GPT 3.5 · Answer

Apologies for the confusion. To translate the rectangle in Quadrant I to align with the rectangle in Quadrant III, you would need to translate it horizontally left or right by a certain number of units and vertically up or down by a certain number of units. However, without specific information about the coordinates of the vertices of the rectangles, it is not possible to determine the exact translation.