how would you describe the series of transformations that have occurred to move the rectangle in Quadrant IV to the rectangle in Quadrant II to show that the rectangle is congruent
The series of transformations that have occurred to move the rectangle in Quadrant IV to the rectangle in Quadrant II can be described as follows:
1. Reflection: The rectangle is reflected over the y-axis, causing it to move from Quadrant IV to Quadrant I. This reflection maintains the same shape and size of the rectangle but changes its orientation.
2. Reflection: The rectangle is reflected over the x-axis, resulting in a final position in Quadrant II. This second reflection preserves congruence, meaning that the rectangle maintains both its shape and size.
Together, these two reflections have moved the rectangle from Quadrant IV to Quadrant II while preserving its congruency.