CP Symmetry is short for Charge Conjugation Parity Symmetry, or the combination of C-symmetry (charge conjugation symmetry) and P-symmetry (Parity Symmetry). CP-symmetry states that the laws of physics should be the same if a particle is interchanged with its antiparticle, which carries an opposite charge (“charge” or C symmetry), and then its spatial coordinates are inverted ("mirror" or P symmetry). In other words, in a universe of perfect CP Symmetry, all particles and antiparticles would exist in equal proportion so that if the charge and spatial orientation of either were flipped, it would essentially become the other.
CP Violation refers to the violation of CP Symmetry that we expeince in the universe around us. The universe is made chiefly of matter, rather than consisting of equal parts of matter and antimatter as CP Symmetry would suggest. If CP-symmetry was preserved, The Big Bang should have produced equal amounts of matter and antimatter. If that had occurred, there should have been a total cancellation of both— because particles and their antiparticles annihilate each other. That would equate to a universe entirely devoid of matter; since this is not the case, after the Big Bang, physical laws must have acted differently for matter and antimatter, i.e. violating CP-symmetry.
C-Symmetry
C-symmetry refers to the symmetry of physical laws under a charge-conjugation transformation— basically all this means is that if each charge x were to be replaced with a charge −x, aka if you were to reverse the directions of the electric and magnetic fields, the dynamics would preserve the same form (would be symmetrical). Electromagnetism, gravity and the strong interaction all obey C-symmetry, but weak interactions violate C-symmetry.
P-Symmetry
P-symmetry refers to the symmetry of physical laws under a parity transformation. Also called a parity inversion, a parity transformation is the flip in the sign of one spatial coordinate. In three dimensions, it is can also be described by the simultaneous flip in the sign of all three spatial coordinates; i.e. a mirror image.