A triangle has vertices W(-4, 5), Q(1, -1), and Z(-6, -3). Apply rotation mapping rules to find the coordinates of W' after a 90 degrees (counterclockwise) rotation about the origin.(1 point)

Question

Responses

(-1, 1)

(4, -5)

(5, 4)

(-5, -4)

Answer 1

To rotate a point \( (x, y) \) 90 degrees counterclockwise about the origin, you can use the rotation mapping rule which transforms the point as follows:

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

Applying this rule to the point \( W(-4, 5) \):

1. Identify \( x = -4 \) and \( y = 5 \).
2. Substitute into the rotation formula: \[ W' = (-y, x) = (-5, -4) \]

So the coordinates of \( W' \) after a 90 degrees counterclockwise rotation about the origin are \( (-5, -4) \).

Therefore, the correct response is:

(-5, -4)