Question

The point W( – 2,6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, W'?

Answer 1

Therefore, the coordinates of the resulting point, W', after rotating W(-2, 6) 180 degrees counterclockwise around the origin area are (2, -6).

Explanation:

To rotate a point 180 degrees counterclockwise around the origin, we can use the following steps:

1. Take the coordinates of the original point, W(-2, 6).

2. Swap the sign of both the x-coordinate and the y-coordinate of the original point to obtain the new coordinates.

- The x-coordinate of W' will be 2.

- The y-coordinate of W' will be -6.

Therefore, the coordinates of the resulting point, W', after rotating W(-2, 6) 180 degrees counterclockwise around the origin area are (2, -6).

Answer 2

(2, -6)

Explanation:

When a point (x,y) is rotated counterclockwise by 180° about the origin, the new point becomes (-x, -y) ie the new x coordinate becomes negative of the original x coordinate and the new y coordinate becomes the negative of the original y coordinate

So resulting point W' = (-(-2), -6) = (2, -6)