Rigid motions:
A rigid motion preserves the relative distance and position.
Any motion that changes the shape of the image is not a rigid motion.
Translation, rotation, reflection are examples of rigid motion.
Let us analyze the given options.
A) angles are preserved
This is a property of rigid motion since the relative angles are preserved.
B) the length of a line segment and the length of its image are equal.
This is also a property of rigid motion since the relative lengths are preserved.
C) lines are map to parallel lines
This is not a property of rigid motion since this action will change the shape.
D) the images of two perpendicular lines will be themselves perpendicular.
This is also a property of rigid motion since the shape is preserved.
