Hydrogen peroxide (H\(_2\)O\(_2\)) has an interesting molecular structure where the two oxygen atoms are connected by a single bond, with each oxygen atom bonded to one hydrogen atom. The molecule adopts a non-planar, non-linear structure due to the repulsion between lone pairs of electrons on the oxygen atoms. 1. Bond angle: The bond angle in H\(_2\)O\(_2\) is approximately 111° (not 180° as in a linear molecule), which makes it non-linear. 2. Planarity: The oxygen-oxygen bond in H\(_2\)O\(_2\) is not in a plane due to the electron pair repulsion, which leads to a non-planar structure.
Thus, the correct answer is \( \boxed{{D}} \), non-planar, non-linear.