Question

A coordinate plane with 4 quadrants shows x and y axes ranging from negative 8 to 8 in increments of 1. Two rectangles are formed by lines joining four plotted points each. The coordinates of the plotted points for first rectangle joined by solid lines are (-1, -2), (-3, -2), (-3, -7), and (-1, -7). The coordinates for the second rectangle joined by lines made of dashes and dots are (2, 3), (7, 3), (7, 5), and (2, 5).

To show that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I, Darnell rotates the first rectangle 90 degrees clockwise into Quadrant II. What is his next step?

Answer 1

put it in parentheses like plot points

Answer 2

After rotating the first rectangle 90 degrees clockwise into Quadrant II, Darnell's next step would be to translate the rectangle in Quadrant II to Quadrant I. He would do this by moving the rectangle up 5 units and to the right 4 units, which would align it with the rectangle in Quadrant I. This translation would establish congruence between the two rectangles.

Answer 3

After rotating the first rectangle 90 degrees clockwise into Quadrant II, Darnell's next step would be to translate the rectangle in Quadrant II to Quadrant I. He would do this by moving the rectangle up 5 units and to the right 4 units.

The new coordinates for the rectangle in Quadrant II after the translation would be:
(-2, 1), (-2, 3), (-7, 3), and (-7, 1)