A triangle has vertices W(-3, 7), Q(1, -1), and Z(-5, -2). 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)

(7, 3)

3, -7)

(-7, -3)

Answer 1

To find the coordinates of the point W' after a 90-degree counterclockwise rotation about the origin, we can use the rotation mapping rules for a point (x, y).

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

For the point W(-3, 7), we apply the rule:

1. \( x = -3 \)
2. \( y = 7 \)

Using the formula: \[ W' = (-y, x) = (-7, -3) \]

Thus, the coordinates of W' after the 90-degree counterclockwise rotation about the origin are: \[ (-7, -3) \]

So the correct response is: (-7, -3)