Bad seal? Bad cooling line to radiator?
transmission cooler
transmission leak in reverse only
seal. expensive
Coolant should not be leaking from your transmission the only fluid in your transmission is transmission fluid. A faulty transmission seal can allow transmission fluid to leak out.
Transmission fluid can leak from many places. It could leak from the actual transmission itself, or any of the tubing that goes from the transmission to other parts of the car.
Bad seal or excessive internal pressure
You can locate the transmission fluid leak on your 2001 Chevy Metro by looking at the transmission fluid on the ground. Look above the transmission fluid stain and you should be able to see the source of the leak.
A transmission fluid leak means that the plug may need to be replace, or the seal or gasket may need to be replace. As it could be caused by a work seal, or gasket, or a loose plug.
Check fluid level in transmission
transmission has worn/bad seals.should have a trans shop check it. Most don't charge to check.
Transmission fluid leak can be caused by couple of things. Most common being an worn out or broken seal. The transmission seals on most cars are made from rubber or metal. Seal is exposed to extreme temperature for years and the parts moving around them will eventually cause seals to fail resulting fluid leak. Faulty installation of a seal can also cause a leak. The another thing that can cause a leak is, if transmission case or pan is damaged due to low ground clearance.
A pan gasket failure can cause a leak; other seals are subject to failure over time