To rotate a figure 90 degrees counterclockwise about the origin, follow these steps:
1. **Identify the Coordinates**: Note the coordinates of each point of the figure. For example, if you have a point (x, y), these are the coordinates you will use.
2. **Apply the Rotation Formula**: Use the rotation formula for 90 degrees counterclockwise. The new coordinates (x’, y’) can be found using the following formulas:
– x’ = -y
– y’ = x
3. **Plot the New Points**: After applying the formula, plot the new points (x’, y’) on the coordinate plane.
4. **Connect the Points**: Finally, connect the new points to form the rotated figure.
**Example**:
Let’s say you have a point at (3, 4). To rotate this point 90 degrees counterclockwise about the origin:
– Apply the formulas: x’ = -4 and y’ = 3.
– The new coordinates after rotation will be (-4, 3).
By following these steps, you can rotate any figure 90 degrees counterclockwise about the origin.