(Polar molecules, Non-polar molecules, etc.)
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I think that when asked for the arrangement, it's asking for all single, double, triple bonds as well as lone pair electrons (Lewis Structure). For molecular shape, it may want just the positioning of the atoms without showing what kinds of bonds are attached (almost like a simple 3D drawing) and the name of the shape (octahedral, linear, trigonal planar, etc.)
The arrangement is dependent only on the number of regions of electron density whereas the molecular geometry has to take into account the number of bonded electrons vs. the number of lone pairs and how they interact among each other (lone pairs force bonded atoms closer together and therefore create a different shape and slightly lower bond angle than would be expected of typical molecules with the same arrangement and no lone pairs).
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