Question

Which describes the transformations applied in the figure above?

1. A clockwise rotation of 180 degrees about the origin.

2. A counterclockwise rotation of 270 degrees about the origin.

3. A counterclockwise rotation of 90 degrees about the origin.

4. A clockwise rotation of 270 degrees about the origin.

Answer 1

2. A counterclockwise rotation of 270 degrees about the origin.

Explanation:

Point A before the transformation:

Before the transformation, point A was at (-2,2).

After the transformation, point A' is (2,2).

Point B:

Before the transformation, point B was at (-6,-3)

After the transformation, point B' is (-3,6).

Transformation rule:

From the transformations of points A and B, we get that the transformation rule is (x,y) -> (y,-x), which is a counterclockwise rotation of 270 degrees about the origin., and the correct answer is given by option 2.