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.

Answer 1

To find the coordinates of the point W' after a 90-degree rotation about the origin, we can apply the rotation mapping rules for coordinates.

The rotation mapping rule for a 90-degree rotation counterclockwise about the origin is:
\[
(x, y) \rightarrow (-y, x)
\]

For point \( W(-4, 7) \):
- Here, \( x = -4 \) and \( y = 7 \).
Applying the rotation rule:
\[
W' = (-y, x) = (-7, -4)
\]

So, the coordinates of \( W' \) after a 90-degree rotation about the origin are \( W'(-7, -4) \).