center of symmetry: meaning, definition, pronunciation and examples
C2Technical / Formal
Quick answer
What does “center of symmetry” mean?
A point in a geometric figure such that any line drawn through it intersects the figure at two points equidistant from it.
Audio
Pronunciation
Definition
Meaning and Definition
A point in a geometric figure such that any line drawn through it intersects the figure at two points equidistant from it.
A point, axis, or plane in a symmetrical object where one half is the mirror image of the other.
Dialectal Variation
British vs American Usage
Differences
UK spelling is 'centre of symmetry'. No significant difference in meaning or application.
Connotations
Identical technical connotations. Slight subconscious register difference where 'centre' may feel more formal in British academic writing.
Frequency
Equally frequent in respective technical domains. Very low frequency in general language.
Grammar
How to Use “center of symmetry” in a Sentence
The [object] has its [center of symmetry] at point X.Point P serves as the [center of symmetry] for the figure.A molecule lacks a [center of symmetry] if...To find the [center of symmetry], draw lines through...The design rotates around its [center of symmetry].Vocabulary
Collocations
Examples
Examples of “center of symmetry” in a Sentence
verb
British English
- The molecule centres itself on the inversion point.
- The design does not centre neatly.
American English
- The figure centers on that specific coordinate.
- The pattern centers perfectly at the origin.
adverb
British English
- The shapes are arranged centre-symmetrically.
- (Rare usage)
American English
- The elements are distributed center-symmetrically.
- (Rare usage)
adjective
British English
- The centre-of-symmetry point was calculated.
- A centre-symmetric arrangement.
American English
- The center-of-symmetry property is key.
- It exhibits center-symmetric characteristics.
Usage
Meaning in Context
Business
Almost never used. Possibly in high-level strategic or design discussions about balanced organisational structures.
Academic
Primary domain. Used in mathematics, geometry, physics, chemistry (crystallography), biology (symmetry in organisms), and art theory.
Everyday
Virtually never used. A layperson would say 'middle' or 'balancing point'.
Technical
Core domain. Essential terminology in geometry, materials science, molecular chemistry, and engineering design.
Vocabulary
Synonyms of “center of symmetry”
Strong
Neutral
Weak
Vocabulary
Antonyms of “center of symmetry”
Watch out
Common Mistakes When Using “center of symmetry”
- Using 'centre/center of symmetry' to describe bilateral symmetry (which usually has an axis, not a point).
- Misspelling 'symmetry'.
- Confusing it with 'centre of mass' or 'centroid', which are related but distinct concepts.
- Omitting 'of' (incorrect: 'symmetry centre').
FAQ
Frequently Asked Questions
No. A centre of symmetry is a specific point. A line of symmetry (axis of symmetry) is a line about which a shape can be folded to match perfectly. A shape can have one, both, or neither.
Yes. In 3D, the centre of symmetry (or inversion centre) is a point where any line drawn through it intersects the object's surface at equal distances in opposite directions. A cube is a common example.
A perfectly spherical football, a simple cube-shaped die, or a hexagonal pencil (when viewed end-on, ignoring the text). Their geometric midpoints allow them to be rotated 180 degrees and still look the same.
A molecule with a centre of symmetry (an inversion centre) is often achiral, meaning it is not optically active—it will not rotate the plane of polarized light. This is a key property in pharmaceuticals and materials science.
A point in a geometric figure such that any line drawn through it intersects the figure at two points equidistant from it.
Center of symmetry is usually technical / formal in register.
Center of symmetry: in British English it is pronounced /ˈsɛn.tər əv ˈsɪm.ɪ.tri/, and in American English it is pronounced /ˈsɛn.t̬ɚ əv ˈsɪm.ə.tri/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “The political landscape found its center of symmetry in the moderate candidate. (Extended metaphorical use, rare)”
Learning
Memory Aids
Mnemonic
Imagine a perfect snowflake. Pin it to the wall with a single pin right in its absolute middle. That pin is the CENTER OF SYMMETRY – every arm is a mirror of another across that central point.
Conceptual Metaphor
BALANCE POINT (The central, stable point from which perfect order and reflection emanate.)
Practice
Quiz
In which field is the term 'centre of symmetry' LEAST likely to be used?