a triangle has vertices W(-3, 7)Q(1, -1)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, we can apply the following rotation mapping rule:

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

Given the coordinates of point \( W(-3, 7) \), we will apply the rotation rule:

• Here, \( x = -3 \) and \( y = 7 \).
• Applying the rule:

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

So, the coordinates of \( W' \) after a 90-degree counterclockwise rotation about the origin are:

\[ W'(-7, -3) \]