Question

What set of transformations could be applied to rectangle ABCD to create A³B³C³D³?

1) Reflected over the x-axis and rotated 180°
2) Reflected over the y-axis and rotated 180°
3) Reflected over the x-axis and rotated 90°Counterclockwise
4) Reflected over the y-axis and rotated 90°Counterclockwise

Answer 1

The set of transformations that could be applied to rectangle ABCD to create A³B³C³D³ is: reflected over the x-axis and rotated 180°, reflected over the y-axis and rotated 180°, and reflected over the x-axis and rotated 90° counterclockwise.

Step-by-step explanation:

The set of transformations that could be applied to rectangle ABCD to create A³B³C³D³ is:

1. Reflected over the x-axis and rotated 180°
2. Reflected over the y-axis and rotated 180°
3. Reflected over the x-axis and rotated 90° counterclockwise

These transformations would result in the vertices of the rectangle being rearranged to form a new shape.