Final answer:
Membranous vesicles and organelles primarily move along microtubules in an animal cell's periphery, aided by motor proteins that use ATP as an energy source.
Step-by-step explanation:
Membranous vesicles and organelles typically engage in local movement in the cell periphery of an animal cell along microtubules. Microtubules, along with microfilaments and intermediate filaments, make up the cytoskeleton of a cell. While intermediate filaments mainly provide structural support, microtubules and microfilaments are involved in cell motility.
Motor proteins like dynein and kinesin transport 'cargo' such as organelles along microtubules, and this process requires chemical energy from ATP hydrolysis. Microfilaments, particularly actin filaments, work with myosin to facilitate muscle contraction and other forms of cellular movement.