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diagonal

noun · adjective

Simple meaning

Joining two nonadjacent vertices.

Pronunciation

Say it like this:

dyaguhnuhl

Say the bold part a little louder.

US device voice
IPA pronunciation (US)

daɪˈæɡənəl

This word is pronounced essentially the same in American and British English, so one transcription covers both.

IPA (International Phonetic Alphabet) is a standard way of writing speech sounds.

Word Review

Definition

Everyday modern meanings first, grouped by part of speech.

noun

  1. geometry

    A straight line connecting any two vertices of a polygon that are not adjacent

    “Draw a diagonal connecting opposite corners of the square.”

  2. geometry

    A line joining non-adjacent vertices of a polygon.

  3. Anything forming or resembling such a line, particularly

adjective

  1. geometry

    Joining two nonadjacent vertices (of a polygon or polyhedron).

  2. Having a slanted or oblique direction.

  3. Of or related to the cater-corner (diagonally opposite) legs of a quadruped, whether the front left and back right or front right and back left.

  4. Having slanted or oblique lines or markings.

Word at a Glance

Difficulty
C1 · Advanced (estimated)
Frequency
Moderately Common
Typical Use
Neutral / general English

Word Aura™

How this word commonly comes across.

Aura for this meaning

This meaning: A straight line connecting any two vertices of a polygon that are not adjacent

Used this way, diagonal is a specialist word that usually carries little praise or criticism of its own. This is a mathematical use: it is defined precisely and belongs to working with figures and calculations rather than to ordinary conversation.

Heard in a sentence
“Draw a diagonal connecting opposite corners of the square.”
Emotional tone
Neutral
Formality
Specialist/technical
Intensity
Not strongly marked
How common
Specialized
Connotation
Clinical and technical
Usage feel
Technical and specialized

Where it naturally appears

  • Mathematics
  • Geometry
  • Academic writing
  • Education/classroom

Usage note

In general conversation this sense usually needs explaining — outside its field, people reach for a plainer word.

Word Aura describes common impressions, not a measurement. Tone changes with sentence, speaker, relationship and situation.

More ways to use diagonal

  • “The bishop moves on the diagonals.”noun

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Common Patterns and Combinations

How this word naturally appears with others.

diagonal matrixmain diagonalprincipal diagonaldiagonal linediagonal elementdiagonal termsdiagonal tensiontwo diagonal

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Word Family

Related forms, grouped by how they connect.

Word family

Words built from the same root.

  • diagonallyadverbDerived adverb

    In a diagonal manner.

Compound terms

Established multiword terms.

  • diagonal matrixnounCompound term

    A square matrix with all elements not on the main diagonal equal to zero.

  • main diagonalnounCompound term

    The diagonal of a square matrix running from the upper left entry to the lower right entry.

  • principal diagonalnounCompound term

    The diagonal of a square matrix running from the upper left entry to the lower right entry.

  • secondary diagonalnounCompound term

    The diagonal of a square matrix running from the lower left entry to the upper right entry.

More about this wordSynonyms, forms, origin

Synonyms

Sense: straight line connecting any two vertices of a polygon that are not adjacent

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Dictionary data from Wiktionary via the Free Dictionary API. Simple meanings, combinations and word intelligence are built from verified reference data, no AI is used to load this page.