When the z disk moves toward the M line the muscles contract true or false

True.

Explanation:

The sliding filament model states that, during muscular contraction, each sarcomere is shrunk, moving the Z disks closer together and towards the M line. The amplitude of the A band doesn't change, but both the I bands and the H zone almost completely disappear. This happens because the actin and myosin filaments slide against one another, thus the actin filaments occupy the A band and the H zone.

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