Symmetric with respect to the plane of motion

1. The problem statement, all variables and given/known data

Can someone explain why

"For a rigid body, the vector q= qx i + qy j (where q is the position of an infinitesimal element of mass dm relative to G, the centre of gravity)
reflect that the body is symmetric with respect to the plane of motion"

2. Relevant equations

3. The attempt at a solution

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