Final answer:
In a translation, the distance between corresponding points remains constant, the orientation of points on the polygon is preserved, angle measures between sides are preserved, and the distances between points on the polygon are also preserved. No properties of the figure are changed except for its position.
Step-by-step explanation:
In geometry, a translation is a transformation that moves every point of a figure or a space by the same distance in a given direction.
There are multiple characteristics of translations that preserve certain properties of the geometric figures involved. The true statements about translations are:
- A. The distance between corresponding points in the image and pre-image is constant.
- B. The orientation of points on the polygon is preserved by the transformation.
- C. The angle measures between sides on the polygon are preserved by the transformation.
- D. The distances between points on the polygon are preserved by the transformation.
During a translation, there is no change in shape, size, or angle measures within the figure. The entire figure is simply shifted in one direction, which means that corresponding sides and angles remain congruent, and the orientation of the figure does not change.