1. The problem is to rotate a shape 90 degrees clockwise around the origin in the coordinate plane. 2. The formula for rotating a point $(x,y)$ 90 degrees clockwise is: $$ (x,y) \to (y, -x) $$ 3. This means the new x-coordinate is the original y-coordinate, and the new y-coordinate is the negative of the original x-coordinate. 4. For each vertex of the shape, apply this transformation to find the rotated coordinates. 5. Example: If a point is at $(3,4)$, after rotation it becomes: $$ (3,4) \to (4, -3) $$ 6. Repeat for all points to get the full rotated shape. This rotation preserves the shape's size and angles but changes its orientation by 90 degrees clockwise.