Rotating a triangle 90 degrees around a point is a common geometric transformation. To achieve this, you’ll follow a straightforward process. Let’s break it down step by step:
- Identify the Rotation Point: Decide around which point you want to rotate the triangle. This point can be a vertex of the triangle or any other point on the plane.
- Plot the Triangle: Start by plotting the triangle on a coordinate grid. Note the coordinates of its vertices.
- Apply the Rotation: To rotate a triangle 90 degrees clockwise (or counterclockwise), use the following rules for each vertex (x, y):
- Clockwise 90 Degrees: New coordinates will be (y, -x)
- Counterclockwise 90 Degrees: New coordinates will be (-y, x)
- Re-plot the Triangle: After applying the rotation to each vertex, plot the new points on the grid to see your rotated triangle.
This process can be visualized as moving the triangle around the rotation point without altering its shape or size. Understanding this transformation is useful in various fields, including graphic design, engineering, and animation.