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If you draw the tetrahedral lewis structure in its actual shape, you would see that they would not cancel due to the vectors pointing upwards or downwards. The structure does not have bond angles of 90º. There would be a net dipole going up or down. For example, CH2Cl2 would still be polar and like the posts above me said, the only time a tetrahedral molecule is nonpolar is when all four atoms attached to the central atom are the same, like CCl4.
If you draw out the proper shape, then obviously the molecule will be polar because of dipoles that aren't canceling each other out. So, it's only if the molecules are the same where the dipoles would cancel each other out.
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