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

Answer 1

To move the rectangle in quadrant IV to the rectangle in quadrant I, a series of transformations can be applied to show that the rectangles are congruent. These transformations include:

1. Translation: The rectangle is shifted horizontally or vertically without changing its size or shape. In this case, the rectangle is moved to the right by a certain distance.

2. Reflection: The rectangle can be reflected over either the x-axis or the y-axis. This flips the shape, maintaining its size and shape but changing its orientation.

3. Rotation: The rectangle can be rotated by a certain angle around a point. This turns the shape while preserving its size and shape.

By applying a specific combination of translations, reflections, and rotations, it is possible to transform the rectangle in quadrant IV to the rectangle in quadrant I, demonstrating their congruence.