To find the new position of point A (2, 4) after rotating the triangle 90 degrees counterclockwise around the origin, we can use the following transformation:
When rotating a point \((x, y)\) 90 degrees counterclockwise, the new coordinates \((x', y')\) are given by: \[ (x', y') = (-y, x) \]
Now, applying this transformation to point A (2, 4):
- The x-coordinate becomes \(-4\)
- The y-coordinate becomes \(2\)
Thus, the new coordinates of point A after the rotation are: \[ A' = (-4, 2) \]
So point A (2, 4) after a 90-degree counterclockwise rotation will be located at \((-4, 2)\).