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A Geo Metro is a front wheel drive vehicle. When a squealing noise occurs when the wheel is turning, it can be an indication of damage to the CV joints.
check your wheel bearings
Probably a worn wheel bearing...have it looked at by a technician before it seizes.
Power Steering Fluid Or Power Steering Pump
rear differential got lube? rear wheel bearings?
Turning the steering wheel farthest left or right for a few seconds will cause a loud squealing.
Without seeing it , I will tell you that most of the time wheel noise that happens when you turn the wheel is due to a CV axle that is failing. Test is this way: go into a large vacant parking lot and turn the wheels to the right and go in reverse; is the noise worse? It may be if the joint is bad.Usually a wheel bearing will make a low growling noise; but you called it a squealing noise. I hope this helps a little.
The cause of the squealing sound is because you are turning the steering wheel completely to the right or left
Power steering belt slipping?
The most likely cause is the belt on the power steering pump. This is especially likely if this occurs when the car is not moving and you turn the wheel. The load on the pump is causing the belt to slip, and squeal. Adjust the belt. If it persists you may need to replace it.
It is very hard to turn the steering wheel and/or a whining or squealing noise when you turn the steering wheel.
Worn Brake pads. ? needs to be more specific.