Understanding the Rotation Rule | Performing a 180-Degree Rotation around a Fixed Point

Rotation rule for a 180 degree rotation

The rotation rule for a 180-degree rotation is a transformation that flips an object or shape upside down or reflects it across a line

The rotation rule for a 180-degree rotation is a transformation that flips an object or shape upside down or reflects it across a line. In other words, it is a rotation that turns the object around a fixed point by exactly half of a full revolution.

To perform a 180-degree rotation, follow these steps:

1. Identify the fixed point, also known as the center of rotation. This point remains unchanged during the rotation.

2. Draw a line connecting the fixed point to any point on the object or shape that you want to rotate.

3. Measure the distance from the fixed point to the chosen point. This distance will remain the same after the rotation.

4. Extend the line in the opposite direction (away from the object) by the same measured distance. This creates a new point on the opposite side of the fixed point.

5. Repeat steps 2 to 4 for each point of the object or shape, connecting them to the fixed point and creating their corresponding new points on the opposite side.

6. Connect the new points with lines to form the rotated shape or object.

For example, let’s consider a triangle with vertices at points A, B, and C. To rotate the triangle 180 degrees around a fixed point O, you would connect O to each vertex and measure the distances. Then, extend these lines by the same distances in the opposite direction to create the new points A’, B’, and C’. Finally, connect these new points to form the rotated triangle A’B’C’.

Note that for a 180-degree rotation, every point of the object or shape is mirrored across the fixed point, resulting in an upside-down orientation of the original shape.

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