would you describe the series of Transformations that have occurred to move the rectangle in Quadrant 4 to the rectangular quadrant 2 to show that the rectangles are congruent
To move the rectangle in Quadrant 4 to Quadrant 2 and show that the rectangles are congruent, we can describe a series of transformations. These transformations will ensure that the size, shape, and orientation of the rectangle remain the same throughout the process.
1. Translation: Move the Quadrant 4 rectangle to Quadrant 1 by shifting it along the x-axis and y-axis. This translation will preserve the shape and size of the rectangle, as well as its orientation.
2. Reflection: Reflect the Quadrant 1 rectangle across the x-axis to place it in Quadrant 2. This reflection will maintain the shape, size, and orientation of the rectangle.
After performing these transformations, the rectangle in Quadrant 4 will be congruent to the rectangle in Quadrant 2.