I2C with Ethernet Shield

Is there a way that you can connect multiple slave Arduino’s with one master Arduino using the ethernet shield? Doesn’t the connection between two Arduino’s use the common ground, RX, and TX pins.

Is there a way that you can connect multiple slave Arduino's with one master Arduino

Yes, you can.

using the ethernet shield?

What does the Ethernet shield have to do with I2C? Nothing, nada, zip, zilch.

Doesn't the connection between two Arduino's use the common ground, RX, and TX pins.

No. I2C does not use the Serial pins.