superposable

/,sju:pə'pouzəbl/

Thân thiện

Two congruent triangles are superposable when placed on top of each other.

Definition

1. Adjective:
   • Coinciding exactly when superimposed: Describing two or more figures, shapes, or objects that are identical in form and size, such that if one is placed on top of the other, all corresponding points align perfectly.
   • Identical in shape and size: Having the property of being congruent; the condition of being able to be placed over something else so that all parts match.

Usage Examples

• Adjective:
  • The two triangles are superposable; you can place one over the other and they match perfectly.
  • For the puzzle pieces to fit, their shapes must be superposable.
  • In geometry, congruent figures are superposable by an isometry.

Advanced Usage

• Mathematical/Geometric Context: The term is primarily used in formal contexts like geometry, crystallography, and molecular modeling to describe perfect congruence.
  • The concept of superposable mirror images is central to understanding chirality in chemistry.
• "Superposable onto": Used to indicate the specific object of superposition.
  • The left hand is not superposable onto the right hand.

Variants and Related Words

• Superpose (verb): To place or lay (one thing) over another, typically so that they coincide.
  • You can superpose the two images to check for differences.
• Superposition (noun): The action of superposing or the state of being superposed.
  • The principle of superposition is used in wave physics.

Synonyms

• Congruent: (Geometry) Identical in form; coinciding exactly when superimposed.
• Coincident: Occupying the same space or position.
• Identical: Exactly alike; similar in every detail.

Antonyms

• Non-superposable: Not able to be made to coincide exactly.
• Incongruent: Not congruent.
• Asymmetric: Not identical on both sides of a central line; not superposable on its mirror image.

Related Phrases/Concepts

• Chirality: (Chemistry/Physics) The property of a molecule or object being non-superposable on its mirror image, like left and right hands.
  • A chiral molecule and its mirror image are non-superposable.
• Isometry: (Mathematics) A transformation that preserves distance, making shapes congruent and therefore potentially superposable.

Học thuật

Adjective

1. coinciding exactly when superimposed
   • identical triangles

Từ đồng nghĩa

• identical