Question

The image is a scatter chart representing data points plotted on a Cartesian coordinate system. The vertical axis (y-axis) ranges from 1 to 8, while the horizontal axis (x-axis) goes from -9 to 9. The chart includes numerical values and appears to display relationships or distributions between the plotted points, possibly reflecting trends or patterns in the dataset.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? answer: translate by ____

Answer 1

To determine the congruence of the rectangle in Quadrant III to the rectangle in Quadrant I after rotating it 90 degrees clockwise about the origin, the next step is to translate the rotated rectangle to the correct position.

The translation required would be to move the rectangle from its new position in Quadrant IV (after rotation) to its final position in Quadrant I. This typically involves translating the rectangle rightward (positive x-direction) and upward (positive y-direction) to match the coordinates of the rectangle in Quadrant I.

So, the answer is: translate by moving right and up to align with the corresponding rectangle in Quadrant I. If you're looking for specific numerical values, you would take the x-coordinate and y-coordinate differences between the center points of the two rectangles to determine the exact translation vector.