Chiral organic compounds isolated from living organisms are usually optically active, indicating that one of the enantiomers predominates (often it is the only isomer present). This is a result of the action of chiral catalysts we call enzymes, and reflects the inherently chiral nature of life itself.
When your body builds a molecule (such as an amino acid or a sugar), its "left-handed" enzymes will only make the "left-handed" form. It doesn't create a 50:50 mix of both left and right gloves; it just makes a pure batch of left ones.
Compounds from living things (like sugar from a plant) are almost always pure "left-handed" or pure "right-handed."
The Result: Because life's enzymes are so specific, the compounds they produce are also specific. This purity (not being a 50:50 mix) is what makes them optically active.