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 translation, then rotation translation, then rotation rotation, then translation rotation, then translation reflection, then translation reflection, then translation rotation, then reflection

Answer 1

To show that the rectangles in Quadrant IV and Quadrant II are congruent, we can describe the transformations that move the rectangle in Quadrant IV to the rectangle in Quadrant II.

1. Translation: First, we can translate the rectangle in Quadrant IV to the left to bring it into the same vertical line as the rectangle in Quadrant II.

2. Rotation: Next, we apply a rotation of 180 degrees about the origin (or the center point of the rectangle), which will flip the rectangle across the y-axis, moving its location to Quadrant II.

Therefore, the correct series of transformations that demonstrate the rectangles are congruent is translation, then rotation.