Question

Given point A(2, 6)
𝐴
(
2
,

6
)
on the triangle, where would the new point on the triangle be after a rotation of 90 degrees counterclockwise?

(1 point)

Answer 1

To find the new coordinates of point \( A(2, 6) \) after a 90-degree counterclockwise rotation around the origin, you can use the following transformation formula:

If a point \( (x, y) \) is rotated 90 degrees counterclockwise, the new coordinates \( (x', y') \) can be calculated as:

\[
(x', y') = (-y, x)
\]

For point \( A(2, 6) \):

1. Substitute \( x = 2 \) and \( y = 6 \):
\[
x' = -y = -6
\]
\[
y' = x = 2
\]

Thus, the new coordinates after the rotation are:

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

So, the new point after the 90-degree counterclockwise rotation is \( A'(-6, 2) \).