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

Answer 1

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

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

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

1. Identify the coordinates: \(x = 3\) and \(y = 7\).
2. Substitute into the rotation rule:

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

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