Symmetrical AWD refers to a concept where the system of components that delivers power to wheels is centered in the middle of the car, and is symmetrical left-to-right. In most vehicles, parts of the powertrain are positioned off center. For example: the engine power would be directed straight back to a transfer case which would have two outputs: one straight back to the rear axle, and one offset to the side to direct it to the front axle. Modern AWD systems that are FWD based are symmetrical in that the centered PTU delivers torque from the transaxle straight down the middle of the vehicle direct to a RDM. This symmetrical layout theoretically gives you better handling characteristics because the weight is balanced but that is not likely in reality. Simply by adding or subtracting a passenger from your vehicle would have a more noticeable affect (i.e. not noticeable at all).
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4wd stands for four-wheel-drive. This means that power from the engine can be applied to all four wheels of the car rather than just two of them.
Symmetrical. See http://www.orbitals.com for pictures of all the orbitals
The mean, median, and mode are all measures of central tendency. For symmetrical distributions they all have the same value. For assymetrical distributions they have different values. The mean is the average and the mode is the most likely value.
Yes, and many have multiple lines of symmetry.
The X in a BMW Vehicle name is to show that the car is all wheel drive. ie: 325XI 530XI X5 etc