Question

The figure above the x-axis is the preimage. The figure below the x-axis is the image. Which transformation produced the image?

A.
reflection across the x-axis
B.
reflection about the origin
C.
rotation 90° clockwise about the origin
D.
rotation 90° counterclockwise about the origin

Answer 1

C. rotation 90° clockwise about the origin

Answer 2

B. reflection about the origin

Step-by-step explanation:

When we look at this figure, we can see that this is not a 90 degree rotation in any direction; this would turn the figure 90 degrees, which would move the image in Quadrant II to either Quadrant I or Quadrant III instead of Quadrant IV.

A reflection across the x-axis will negate the y-coordinate, moving the image either directly above or directly below the pre-image. This is not the case, so this is not a reflection across the x-axis.

In a reflection about the origin, both the x- and y-coordinates are negated; this is the same as a 180 degree rotation. This would move the pre-image to match the image.