Which properties of transformed figures are always preserved (stays the same) under translations, reflections, and rotations?
Answers
Step-by-step explanation:
The properties of a figure that are preserved during rotation are distance,angle measures,parallelism,colinearity,midpoint and orientation.
Answer:
Isometries and Stiff Transformations – An isometry or rigid transformation is a transformation of the plane that keeps length. "Rigid transformations" include reflections, translations, rotations, and combinations of these three transformations.
Explanation:
Within Translation
In geometry, you merely move something when you translate it. It isn't altered in any manner by you. A segment's length is unaffected by translation, and it still counts as a segment. The measure of an angle remains unchanged when it is translated, too.
Under Rotation
For any point subject to a rotation, the rotation's angle remains constant. Rotations maintain the separation between the locations. Rotation keeps lengths constant. Rotations keep angles intact.
Under Reflection
A line reflection from the pre-image to the picture preserves certain properties.
distance (lengths of segments remain the same)
angle dimensions (remain the same)
parallelism (parallel lines remain parallel)
collinearity (points remain on the same lines)