Final answer:
The properties of transformed figures that are always preserved under translations, reflections, and rotations are the slope of line segments, length of line segments, and orientation of the figure.
Step-by-step explanation:
The properties of transformed figures that are always preserved under translations, reflections, and rotations are:
- Slope of line segments: The slope of a line segment remains the same after a translation, reflection, or rotation.
- Length of line segments: The length of a line segment remains the same after a translation, reflection, or rotation.
- Orientation of the figure: The overall orientation or direction of the figure remains the same after a translation, reflection, or rotation.