Question

What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?

Answer 1

When a point is rotated 180 degrees about the origin, the following transformation of the point occurs:

`(x,y) \rightarrow (-x,-y)`

This basically means that you will flip the positive/negative signs for x and y:

`x = 1`

`x' = -1`

`y = -6`

`y' = 6`

`(1,-6) \rightarrow \boxed{(-1,6)}`

The image will be (-1, 6).

Answer 2

The one with point (-1,6)