Validity on my lecture note related to the concept of tree

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On my lecture note, it shows the definition of the tree which state tree is a non-directed graph and does not consist of any circuit.

Also, in my lecture note, this graph, (as shown below) is not a tree.

Example not tree

So, my question is, is it really not a tree?, (or the definition of my lecturer has given is false, or I misunderstand the definition of the circuit)?