Use the image to answer the question.

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

Answer 1

To find the new coordinates of point A(2, 6) after a 180-degree counterclockwise rotation around the origin, you can use the following transformation rule:

For any point (x, y), after a 180-degree rotation, the new coordinates will be (-x, -y).

Applying this to point A(2, 6):

1. Take the x-coordinate: 2 → -2
2. Take the y-coordinate: 6 → -6

Thus, the new coordinates of point A after the 180-degree rotation will be:

A'(-2, -6).