Question

How would you describe the series of transformations that have occurred to move the rectangle from 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

reflection, then translation
reflection, then translation

translation, then rotation

Answer 1

THAT'S WRONG

Answer 2

To determine the series of transformations that move a rectangle from Quadrant IV to Quadrant II while showing that the rectangles are congruent, we can analyze the position of the rectangles.

1. **Reflection**: First, we can reflect the rectangle over the y-axis. This transformation will move the rectangle from Quadrant IV to Quadrant III since the points of the rectangle will now have negative x-coordinates.

2. **Translation**: Next, we can translate the rectangle vertically upwards to move it from Quadrant III to Quadrant II.

So, the transformation sequence is **reflection, then translation**.

Thus, the best description is: **reflection, then translation**.