What does the trusted property mean in Bitcoin?

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I made a transfer in the Bitcoin test network from 3 block.io wallet addresses to 3 addresses per node (bitcoind) on my computer. Made a JSON PRC request to my node to find out information about the transaction immediately after the transfer. What does trust mean in Bitcoin? Is it a property of a transaction or an address?
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It is possible that this is the same as What does green address mean in Bitcoin? at block.io