Question

4 of 154 of 15 Items Question 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-degree (counterclockwise) rotation about the origin.(1 point) Responses W' (8,-3) W' (8,-3) W' (6, 3) W' (6, 3) W' (-7,-3) W' (-7,-3) Skip to navigation page 1 of 1

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 rule.

The general rule for rotating a point \( (x, y) \) by 90 degrees counterclockwise about the origin is: \[ (x, y) \rightarrow (-y, x) \]

For the vertex \( W(-3, 7) \):

• Apply the rotation rule:
  • \( x = -3 \)
  • \( y = 7 \)

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

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

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