Question

If a triangle has a counterclockwise orientation, which transformations will also have a counterclockwise orientation

Answer 1

Any transformation that preserves orientation will also have a counterclockwise orientation if the original triangle has a counterclockwise orientation. These include:

1. Rotations that move points in a counterclockwise direction around a fixed point.
2. Reflections across a line that do not flip the orientation of the triangle.
3. Translations in any direction.

Conversely, any transformation that reverses orientation will have a clockwise orientation on the original triangle. This includes reflections that flip the orientation of the triangle, and rotations that move points in a clockwise direction around a fixed point.