In a multicast network, which condition must be met for an RPF check to be...

The RPF check is performed against the RP address when the PIM router has shared-tree state. In PIM sparse mode, multicast traffic initially flows through the rendezvous point using the shared tree, represented as (*,G) state. For shared-tree traffic, the router verifies that packets arrive from the direction of the RP, because the RP is the root of the shared distribution tree. When the router has source-tree state, represented as (S,G), the RPF check is performed against the multicast source address instead. Dense mode behavior and directly connected membership are not the determining conditions in this question. The key distinction is whether forwarding state is shared-tree or source-tree. Cisco multicast design relies on this behavior to keep PIM forwarding loop free as traffic transitions from shared-tree delivery to shortest-path tree delivery where applicable. Selecting the shared-tree state option correctly identifies when the RP address is used for the RPF calculation. Reference topics: PIM sparse mode, shared tree, source tree, RPF toward RP, (*,G) and (S,G) state.