The etymology and forms listed in OED indicate that this is an eye-rhyme (where words look alike rather than actually sounding alike).

Symmetry has an etymology from French:

< Middle French symmetrie (1529), French symétrie (= Italian simm- , Spanish sim- , Portuguese symetria)

or possibly Late Latin symmetria. However, the 1529 entry is close to when it's first shown in English:

1563 J. Shute First Groundes Archit. sig. Aiiiv, Concerning y^e proportion and simetry to vse the accustomed terme of the arte of the fornamed columbes.

OED gives various forms from the 1500s and 1600s, in addition to symmetry:

Also 15 symmetrye, simetrie, 15–16 simetry, sym(m)etrie, 16 simmetry, simmetrie, symetry.

The continued use of -ie from the French -ie would tend to suggest a pronunciation similar to French, which is highly unlikely to rhyme with eye.

The etymology and forms listed in OED indicate that this is an eye-rhyme (where words look alike rather than actually sounding alike).

Symmetry has an etymology from French:

< Middle French symmetrie (1529), French symétrie (= Italian simm- , Spanish sim- , Portuguese symetria)

or possibly Late Latin symmetria. However, the 1529 entry is close to when it's first shown in English:

1563 J. Shute First Groundes Archit. sig. Aiiiv, Concerning y^e proportion and simetry to vse the accustomed terme of the arte of the fornamed columbes.

OED gives various forms from the 1500s and 1600s, in addition to symmetry:

Also 15 symmetrye, simetrie, 15–16 simetry, sym(m)etrie, 16 simmetry, simmetrie, symetry.

The continued use of -ie from the French -ie would tend to suggest a pronunciation similar to French, which is highly unlikely to rhyme with eye.

The etymology and forms listed in OED indicate that this is an eye-rhyme (where words look alike rather than actually sounding alike).

Symmetry has an etymology from French:

< Middle French symmetrie (1529), French symétrie (= Italian simm- , Spanish sim- , Portuguese symetria)

or possibly Late Latin symmetria. However, the 1529 entry is close to when it's first shown in English:

1563 J. Shute First Groundes Archit. sig. Aiiiv, Concerning y^e proportion and simetry to vse the accustomed terme of the arte of the fornamed columbes.

OED gives various forms from the 1500s and 1600s, in addition to symmetry:

Also 15 symmetrye, simetrie, 15–16 simetry, sym(m)etrie, 16 simmetry, simmetrie, symetry.

The continued use of -ie from the French -ie would tend to suggest a pronunciation similar to French, which is highly unlikely to rhyme with eye.

The etymology and forms listed in OED indicate that this is an eye-rhyme (where words look alike rather than actually sounding alike).

Symmetry has an etymology from French:

< Middle French symmetrie (1529), French symétrie (= Italian simm- , Spanish sim- , Portuguese symetria)

or possibly Late Latin symmetria. However, the 1529 entry is close to when it's first shown in English:

1563 J. Shute First Groundes Archit. sig. Aiiiv, Concerning y^e proportion and simetry to vse the accustomed terme of the arte of the fornamed columbes.

OED gives various forms from the 1500s and 1600s, in addition to symmetry:

Also 15 symmetrye, simetrie, 15–16 simetry, sym(m)etrie, 16 simmetry, simmetrie, symetry.

The continued use of -ie from the French -ie would tend to suggest a pronunciation similar to French, which is highly unlikely to rhyme with eye.