Step 1: First identify which surfaces are meeting. The eighth and ninth costal cartilages contact each other along their margins, so this is a cartilage-to-cartilage (interchondral) contact, not rib-to-cartilage or rib-to-vertebra.
Step 2: Now recall the histological character of these interchondral contacts. The cartilages of ribs $6$ through $10$ articulate by small synovial joints that permit slight gliding during breathing.
Step 3: The question asks for the $type$ of joint, and that type is synovial. The costochondral junction (rib to its cartilage) is a primary cartilaginous joint and the costovertebral joint (rib to spine) is a separate synovial articulation, so neither fits this pairing.
Step 4: Putting the location (interchondral) together with the asked-for type (synovial) gives option c as the answer.
\[\boxed{\text{Synovial joint}}\]