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$\cong$ is used to show a congruency between two mathematical expressions, which could be geometrical, topological, and when using modulo arithmetic you can get different numbers that are congruent, e.g., $5 \text{ mod } 3 \cong 11 \text{ mod } 3$ (although this is also written as $\equiv$). In LaTeX it is coded as \cong.
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The ≅ (congruent) symbol is used in geometry to state that two shapes are identical to eachother in shape and size. For example, the congruent symbol is typically used in an expression like this: ABC ≅ DEF.
In Geometry, two or more figures or objects are congruent if they have the same size and shape, usually referring to line segments, shapes/figures, and angles. For example, line segments with the same length are congruent, and angles with the same measure are congruent.
A symbol commonly used for congruence is an equals symbol with a tilde above it, ≅, corresponding to the Unicode character 'approximately equal to' (U+2245). In the UK, the three-bar equal sign ≡ (U+2261) is sometimes used.
The symbol used to depict congruence between any two congruent line segments is ≅. To brief it, congruent segments is just another name given to congruent line segments or congruent lines in geometry.
In geometry, congruent means identical in shape and size. Congruence can be applied to line segments, angles, and figures. Any two line segments are said to be congruent if they are equal in length. Two angles are said to be congruent if they are of equal measure.
In geometry, $\cong$ means congruence of figures, which means the figures have the same shape and size. (In advanced geometry, it means one is the image of the other under a mapping known as an "isometry", which provides a formal definition of what "same shape and size" means) Two congruent triangles look exactly the same, but they are not the ...
