How would you describe the series of transformations that have occurred to move the rectangle in quadrant four to the rectangle in quadrant two to show that the rectangles are congruent

Answer 1

The series of transformations that have occurred to move the rectangle in quadrant four to the rectangle in quadrant two can be described as follows:

1. Translation: The rectangle is shifted to the left or right along the x-axis to align its center with the origin.
2. Reflection: The rectangle is reflected across the y-axis, which results in an identical but mirrored version of the original rectangle.
3. Rotation: The rectangle is rotated 180 degrees around the origin, as the center serves as the rotation point.
4. Translation: The rectangle is shifted vertically upwards or downwards along the y-axis to align its center with the origin.

These transformations are applied sequentially, resulting in the rectangle in quadrant four being congruent to the rectangle in quadrant two.