How would you describe the series of transformations that occurred to move the rectangular in quadrant IV to the rectangle II to show that the rectangles are congruent?

Answer 1

To move the rectangle from quadrant IV to rectangle II while maintaining congruency, the following series of transformations occurred:

1. Reflection over the x-axis: The rectangle in quadrant IV is reflected over the x-axis. This results in a new rectangle with the same dimensions in quadrant II.

2. Translation: The reflected rectangle is then translated horizontally to the right by a certain distance. This means the entire rectangle is shifted to the right, but still maintains the same shape and size.

These transformations preserve congruency between the two rectangles, as a reflection and translation do not change the size or shape of an object. Therefore, the rectangles in quadrant IV and II are congruent.