The line segment is rotated by 270 degrees counter clockwise about the origin to form E’F’. Which statement describes E’F’?
To determine the description of E'F' after rotating the line segment by 270 degrees counterclockwise about the origin, we need to understand the effect of this rotation on the coordinates.
A rotation of 270 degrees counterclockwise means that all points on the line segment will move in the counterclockwise direction around the origin.
Since the line segment is rotated by 270 degrees, we can break it down into smaller rotations:
- A 90-degree rotation counterclockwise takes the line to its image after one quarter of the full rotation.
- Another 90-degree rotation counterclockwise takes the line to the image after one half of the full rotation.
- A final 90-degree rotation counterclockwise takes the line to the image after three-quarters of the full rotation.
Therefore, after the full 270-degree counterclockwise rotation, E'F' will be the image of the original line segment.
In conclusion, E'F' is the image of the original line segment after a 270-degree counterclockwise rotation about the origin.
To determine the description of the line segment E'F' after rotating it by 270 degrees counterclockwise about the origin, we can follow these steps:
1. Visualize the starting line segment. Let's assume that the line segment E'F' is initially horizontal.
2. Rotate the line segment counterclockwise by 270 degrees about the origin. This means we need to rotate it three-quarters of a full circle in the counterclockwise direction.
3. After rotating the line segment, we can observe that it will now be vertical and pointing upwards. The starting point E' will be now aligned with the final point F'.
Therefore, the statement describing the line segment E'F' is that it is vertical and pointing upwards.