Final answer:
Enabling IPv6 on a router actually allows for automatic generation of IPv6 addresses such as link-local and globally unique addresses, depending on network configuration and address assignment mechanisms like SLAAC or DHCPv6. The statement is therefore true.
Step-by-step explanation:
Enabling IPv6 on a router and interfaces allows for several types of IPv6 addresses to be generated automatically.
The truth is that when IPv6 is enabled, it typically allows for both link-local addresses and globally unique addresses to be configured, dependent on the network's configuration and the presence of an IPv6 address assignment mechanism, such as Stateless Address Autoconfiguration (SLAAC) or DHCPv6.
Link-local addresses are used for communication within a single network segment, and they are automatically generated for any active IPv6-enabled interface, using the FE80::/10 prefix.
Globally unique addresses, which allow communication over the internet, can be automatically generated through SLAAC when a router advertises an IPv6 prefix that is meant for global use.
Therefore, the statement that enabling IPv6 allows for the automatic generation of IPv6 addresses is TRUE, but it's important to note that the exact types of addresses generated will depend on the network's specific configuration and the methods used for IPv6 address distribution.