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?(1 point)

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 and vertically to a new position in Quadrant II while maintaining its shape and orientation.

2. Reflection: The rectangle has been reflected across the y-axis or x-axis. This results in the shape being flipped horizontally or vertically.

3. Rotation: The rectangle has been rotated by 180 degrees around the origin. This involves turning the shape in the opposite direction, bringing its vertices to new positions.

By undergoing these transformations, the original rectangle in Quadrant IV has been moved and manipulated in such a way that it now matches the size, shape, and orientation of the rectangle in Quadrant II, thus showing that they are congruent.