Cong in LaTeX

The LaTeX command for cong (≅) is \cong (congruent / isomorphic).

\cong

Relations · Unicode ≅ (U+2245) · no package needed

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Which command should you use?

Command	Package	Use it when
`\cong` recommended	none	Isomorphic, or congruent in geometry.
`\simeq`	none	Homotopy equivalent, or asymptotically equal.
`\approxeq`	`amssymb`	Approximately equal (with a bar).
`\equiv`	none	Congruent modulo n.

Table 1. Ways to write cong in LaTeX. Every line was compiled with pdfLaTeX (TeX Live 2026) loading only the package shown.

How to type Cong

Write \cong inside math mode, that is between $…$ for inline math or in a \[ … \] or equation block for display math. It is part of core LaTeX math, so no extra package is required.

Example

$G / \ker\varphi \cong \operatorname{im}\varphi$

G / \ker\varphi \cong \operatorname{im}\varphi

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Often confused with

Approx \approx (≈): approximately equal
Sim \sim (∼): similar to
Simeq \simeq (≃)

Related Relations symbols

\geqslant\ll\gg\equiv\sim\simeq\approx\propto\perp\mid\nmid\parallel\nparallel\prec

Relation symbols in LaTeX: the full table or search all 350+ LaTeX symbols.

FAQ

How do you write cong (≅) in LaTeX?

Use \cong in math mode; it needs no extra package. For example, $G / \ker\varphi \cong \operatorname{im}\varphi$.

Which package provides \cong?

None: \cong is built into LaTeX, so no extra package is required.