A triangle has vertices W(−3,7)

Question

, Q(1,−1)
, and Z(−5,−2)
. Apply rotation mapping rules to find the coordinates of W′
after a 90-degree (counterclockwise) rotation about the origin.(1 point)
W′
(
,
)

Answer 1

To find the coordinates of the point \( W' \) after a 90-degree counterclockwise rotation about the origin, you can use the rotation mapping rule for a 90-degree counterclockwise rotation. The rule is:

\[ (x, y) \to (-y, x) \]

Given the coordinates of point \( W \) as \( (-3, 7) \):

1. Take the \( x \) coordinate: \( -3 \)
2. Take the \( y \) coordinate: \( 7 \)

Applying the rotation rule:

\[ W' = (-y, x) = (-7, -3) \]

Thus, the coordinates of \( W' \) after the rotation are \( W'(-7, -3) \).