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
The next step in determining that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I is to compare the corresponding sides and angles of the two rectangles.
To compare the sides, measure the lengths of the corresponding sides of the rotated rectangle (rectangle in Quadrant III) and the original rectangle (rectangle in Quadrant I). If the lengths of all four sides are equal, then the rectangles are congruent in terms of side lengths.
To compare the angles, measure the angles formed by each pair of corresponding sides in both rectangles. If the measure of each angle in the rotated rectangle matches the measure of the corresponding angle in the original rectangle, then the rectangles are congruent in terms of angle measurements.
If the lengths of the sides and the measures of the angles in both rectangles are equal, then you can conclude that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I.