Question

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

(1 point)
(
)
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Answer 1

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

When a point (x, y) is rotated 180 degrees around the origin, the new coordinates (x', y') can be calculated as:
- x' = -x
- y' = -y

For point A(2, 6):
- x' = -2
- y' = -6

Thus, the new coordinates of point A after a 180-degree rotation counterclockwise are (-2, -6).

So, the answer is:
\[
(-2, -6)
\]