Question

Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise? (1 point) ([ ],[ ])

Answer 1

To rotate a point \( (x, y) \) 90 degrees clockwise around the origin, the new coordinates can be calculated using the formula:

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

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

1. Here, \( x = 2 \) and \( y = 6 \).
2. Applying the rotation formula:

\[
x' = y = 6
\]
\[
y' = -x = -2
\]

Thus, the new coordinates after the 90 degrees clockwise rotation are:

\[
(6, -2)
\]

So the new point on the triangle is:

\[
[6, -2]
\]