Rotate a Shape About a Point
A rotation turns every point of a shape around a fixed center point by the same angle and direction. The shape keeps its size and form, but its position and orientation change.
1) Identify the center and the rotation
- Find the given point that acts as the center of rotation.
- Note the angle and whether the turn is clockwise or counterclockwise.
- If a direction is not stated, use only what is shown in the problem.
2) Rotate each key point
For each vertex of the shape:
- Imagine a segment from the center to the vertex.
- Turn that segment by the required angle around the center.
- Keep the distance from the center the same.
- Mark the new position of the vertex.
3) Rebuild the shape
Connect the new points in the same order as the original figure. The rotated shape should match the original side lengths and angle structure.
4) Check your answer
- Every point should stay the same distance from the center as before.
- The shape should look congruent to the original.
- The turn should follow the correct direction and angle.
If the answer must be simplified, write the final coordinates or result in reduced form.