Final answer:
Two modes that improve balance and core strength are practicing yoga positions, which enhance physical and dietary balance, and engaging in core strength exercises such as crunches and planks. Anaerobic exercises also contribute to muscle strength, balance, and coordination.
Step-by-step explanation:
The two modes that help train balance and core strength are exercises that involve the stabilization and coordination of various muscle groups. A definitive example of a mode that trains balance is practicing yoga positions like the headstand, which works on both the body's physical balance and the essential dietary balance for health. In terms of core strength, exercises such as crunches, leg lifts, push-ups, and planks are highly effective. These activities engage the deep muscles of the core, which are crucial for maintaining proper posture and facilitating bodily functions.
Additionally, anaerobic exercises like lunges, sprinting, and weight training contribute to improved balance and coordination while also building and strengthening muscles. Backward displacements and bending activities increase stability by either lowering the center of gravity or expanding the base of stability through the position of the feet.