"Congruent to" is usually referring to shapes in Euclidean geometry and proofs, hence it is written out. If one is talking about "congruences", as in elementary number theory, then the symbol looks like an equal sign, except there is three instead of two lines.
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Congruent is already a math term. Two objects are congruent if they have the same size and shape (even if they are rotated or flipped over). If you want the math symbol for congruence, it is the equal sign with a ~ over it: ≅
= with a ~ on top of it ~ = ≅
'corresponding parts of congruent triangles are congruent'
it is the equal sign = with the symbol ~ over it
=