rigid motion: meaning, definition, pronunciation and examples
Low (Technical)Formal, Academic, Technical (Mathematics/Physics/Engineering)
Quick answer
What does “rigid motion” mean?
A transformation of a geometric figure that preserves distances between points and angles between lines.
Audio
Pronunciation
Definition
Meaning and Definition
A transformation of a geometric figure that preserves distances between points and angles between lines; the figure is moved without changing its size or shape.
In everyday language, a metaphorical extension referring to an extremely stiff, inflexible, or prescribed movement or process.
Dialectal Variation
British vs American Usage
Differences
No significant difference in the technical meaning. Colloquial phrasing for the metaphorical concept might differ slightly.
Connotations
In technical contexts, it is a precise, neutral term. In non-technical contexts, it often has a negative connotation of unnaturalness or lack of fluidity.
Frequency
Extremely rare in general discourse; used almost exclusively in academic/technical fields.
Grammar
How to Use “rigid motion” in a Sentence
The [figure/shape] undergoes a rigid motion.A rigid motion maps point A to point B.Two figures are related by a rigid motion.Vocabulary
Collocations
Examples
Examples of “rigid motion” in a Sentence
verb
British English
- The object can be rigidly moved to the new position.
- The software allows you to rigid-motion the 3D model.
American English
- The engineer rigidly moved the component in the simulation.
- We need to apply a function that rigid-motions the entire set.
adverb
British English
- [Not used]
American English
- [Not used]
adjective
British English
- The transformation is rigid-motion invariant.
- They studied rigid-motion groups.
American English
- A rigid-motion analysis was performed.
- The property is preserved under rigid-motion operations.
Usage
Meaning in Context
Business
Virtually never used.
Academic
Primary context. Used in geometry, physics (classical mechanics), robotics, and computer graphics to describe movements of objects that do not deform.
Everyday
Only used metaphorically or humorously (e.g., 'His walk was a rigid motion, like a toy soldier').
Technical
Core term in mathematics (geometry), engineering (kinematics), and computer vision.
Vocabulary
Synonyms of “rigid motion”
Vocabulary
Antonyms of “rigid motion”
Watch out
Common Mistakes When Using “rigid motion”
- Confusing it with 'rotation' or 'translation' alone (which are types of rigid motions).
- Using it to describe movement that involves scaling or stretching.
- Pronouncing 'rigid' with a soft 'g' (/'rɪdʒɪd/ is correct).
FAQ
Frequently Asked Questions
Closely related. Two figures are congruent if and only if one can be transformed into the other by a rigid motion. The rigid motion is the transformation; congruence is the resulting relationship.
Yes. A reflection is a rigid motion that changes orientation (from clockwise to counter-clockwise, for example), while translations and rotations preserve orientation.
Yes, particularly in classical mechanics and robotics, where it describes the movement of a 'rigid body'—an idealised solid object that does not deform.
A symmetry of a figure is a rigid motion that maps the figure onto itself. So, every symmetry is a rigid motion, but not every rigid motion is a symmetry (unless it leaves the specific figure unchanged).
A transformation of a geometric figure that preserves distances between points and angles between lines.
Rigid motion is usually formal, academic, technical (mathematics/physics/engineering) in register.
Rigid motion: in British English it is pronounced /ˌrɪdʒɪd ˈməʊʃ(ə)n/, and in American English it is pronounced /ˌrɪdʒɪd ˈmoʊʃən/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “[None directly; the term itself is technical]”
Learning
Memory Aids
Mnemonic
Think of moving a solid, unbendable triangle made of metal from one spot on your desk to another. Its shape and size stay perfectly RIGID during the MOTION.
Conceptual Metaphor
MOVEMENT IS TRANSPORTATION OF A FIXED OBJECT; PRECISION IS RIGIDITY.
Practice
Quiz
What is the defining property of a rigid motion?