Question

A triangle has vertices W (-4,7), Q (-1,-1) and Z (-7,-2). Apply rotation mapping rules to find the coordinates of W' after a 90-degree rotation about the origin. (1 point)
(
,
)

Answer 1

To find the coordinates of the point \( W' \) after a 90-degree rotation counterclockwise about the origin, we can use the following rotation mapping rule:

For a point \( (x, y) \), the coordinates after a 90-degree counterclockwise rotation about the origin will be given by:
\[
(-y, x)
\]

Given the coordinates of point \( W \) are \( (-4, 7) \):

1. Replace \( x \) with \(-4\) and \( y \) with \( 7 \):
- New x-coordinate: \(-y = -7\)
- New y-coordinate: \(x = -4\)

So, the coordinates of \( W' \) after the 90-degree rotation are:
\[
W' = (-7, -4)
\]

Thus, the final coordinates of \( W' \) are \((-7, -4)\).