Question

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) Responses rotation, then reflection rotation, then reflection rotation, then translation rotation, then translation translation, then rotation translation, then rotation reflection, then translation reflection, then translation Skip to navigation

Answer 1

To describe the series of transformations that move the rectangle in Quadrant IV to the rectangle in Quadrant II and demonstrate that they are congruent, we can say that the rectangles can be transformed through a combination of rotations and translations.

A common sequence for this transformation is:

1. Rotation: Rotate the rectangle 180 degrees around the origin. This will move it from Quadrant IV to Quadrant II.

2. Translation: If needed, you might also translate the rectangle to ensure it aligns correctly in Quadrant II (though this is typically not necessary with just a basic rotation through the origin).

In simpler terms, the appropriate response would be:

• Rotation, then translation (if necessary for alignment).

However, if you can move directly from Quadrant IV to Quadrant II via just rotation, the best choice would simply be:

• Rotation.

In a typical mathematical context where both rectangles are congruent by definition, either of these methods adequately showcases their congruency through proper transformation.