Given point A(2, 6)

Question

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 triangle is rotated 180 degrees counterclockwise around the origin, we can use the following transformation rules for a point (x, y):

\[ (x, y) \rightarrow (-x, -y) \]

Applying this transformation to the coordinates of point A:

\[ A(2, 6) \rightarrow (-2, -6) \]

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

\[ A'(-2, -6) \]