Carbon dioxide, also known as CO2, is a molecule that consists of one carbon atom and two oxygen atoms. The geometry of this molecule determines whether it is polar or nonpolar. In order to understand whether CO2 is polar or not, it is important to first understand what polar and nonpolar molecules are.

Polar molecules are molecules that have an unequal distribution of charge. This means that one end of the molecule has a slightly positive charge, while the other end has a slightly negative charge. Nonpolar molecules, on the other hand, have an equal distribution of charge, so there is no net dipole moment in the molecule.
The polarity of a molecule is determined by its shape and the distribution of electrons around the atoms that make up the molecule. If a molecule has a symmetrical shape, then the electrons will be distributed evenly around the molecule, and it will be nonpolar. If a molecule has an asymmetrical shape, then the electrons will be distributed unevenly, and it will be polar.
The geometry of a molecule is determined by its electron pair geometry and its molecular geometry. The electron pair geometry refers to the arrangement of electron pairs around the central atom, while the molecular geometry refers to the arrangement of atoms around the central atom.
In the case of CO2, the electron pair geometry is linear, which means that the two oxygen atoms are located on opposite sides of the central carbon atom. This arrangement of atoms leads to a symmetrical distribution of electrons, and therefore the molecule is nonpolar.
However, the story does not end here. While the CO2 molecule is nonpolar due to its symmetrical geometry, it is capable of forming temporary dipoles or induced dipoles. This is because the electrons in the molecule are in constant motion, and at any given moment, they may be more concentrated on one side of the molecule than the other. This creates a temporary dipole moment, which can induce a dipole moment in nearby molecules.
This phenomenon is known as London dispersion forces, which are a type of intermolecular force that exists between all molecules, regardless of whether they are polar or nonpolar. London dispersion forces arise from the fluctuations in the electron density within molecules, which cause temporary dipoles to form.
In the case of CO2, these temporary dipoles can induce a dipole moment in nearby molecules, even though CO2 itself is nonpolar. This is why CO2 can dissolve in polar solvents such as water, even though it is nonpolar.
In conclusion, CO2 is a nonpolar molecule due to its symmetrical linear geometry. However, it is capable of forming temporary dipoles through London dispersion forces, which allow it to interact with polar molecules.