Final answer:
A translation transforms segments into segments of equal length.
A translation transforms angles into angles of equal measure.
Step-by-step explanation:
In the context of geometry and mathematics, translation is a type of transformation that shifts every point of a figure or a space by the same distance in a given direction.
It is important to note that under a translation, the size and shape of the figure are not altered. For example, if a triangle with angles of 30, 60, and 90 degrees is translated, the corresponding angles remain the same in the translated figure.
The concept of angles is central to both geometry and trigonometry, where we often measure angles in units called radians. Radians are dimensionless units, because they are defined as the ratio of two distances: the arc length and the radius of the circle.
There are 2π radians in one revolution, and 360 degrees in one revolution. This means that one complete rotation has an angle of rotation of 2π radians, equal to the circumference of the circle. The relationship between radians, revolutions, and degrees is essential in converting one unit to another in various mathematical and physics problems.