Use the image to answer the question.

An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 8 to 8 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A left parenthesis 2 comma 6 right parenthesis, B left parenthesis 6 comma 4 right parenthesis, and C left parenthesis 2 comma 2 right parenthesis.

Given point A(2, 6)
A
(
2
,

6
)
on the triangle, what are the new coordinates of the point after the triangle is rotated 180 degrees counterclockwise?

1 answer

To rotate a point 180 degrees counterclockwise around the origin (0, 0), you can simply negate both the x-coordinate and the y-coordinate of the point.

For point A(2, 6):

  1. Negate the x-coordinate: -2
  2. Negate the y-coordinate: -6

Thus, the new coordinates of point A after a 180-degree counterclockwise rotation are:

A'(-2, -6).