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 rectangles are congruent?

Answer 1

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. Translation: The rectangle has been shifted horizontally towards the left, keeping the top and bottom sides parallel to the y-axis.

2. Reflection: The rectangle has been reflected across the y-axis. This means that every point on the original rectangle has a corresponding point on the new rectangle that is equidistant from the y-axis.

3. Translation: The rectangle has been shifted vertically upwards, keeping the left and right sides parallel to the x-axis.

By performing these series of transformations, the rectangle in Quadrant IV has been transformed to the rectangle in Quadrant II while maintaining the congruence of both rectangles.