Question

M (6, -2) is rotated 270° counterclockwise.

What are the coordinates of M'?

Answer 1

To find the coordinates of point M (6, -2) after a 270° counterclockwise rotation about the origin, we can use the rotation transformation formulas.

For a 270° counterclockwise rotation, the transformation of the coordinates (x, y) is given by:

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

Here, the original coordinates of point M are (6, -2). We can substitute these values into the formula:

1. Take y = -2
2. Take -x = -6

Now, applying the transformation:

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

Thus, the new coordinates of M' after the rotation will be:

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

So, the coordinates of M' are \((-2, -6)\).