The reasoning behind why there can only be a pair of perpendicular lines in a two-dimensional plane is based on the fact that in a two-dimensional space, two lines that are not parallel can intersect at most once.

Therefore, if there are two perpendicular lines, any other line that intersects both of them must coincide with their point of intersection, and thus cannot be perpendicular to both.

This means that there can only be one additional line that is perpendicular to both of the original lines, making a total of two perpendicular lines.

Any additional lines would either be parallel or not perpendicular to one of the original lines.

Therefore, in Euclidean geometry, it is not possible to draw seven lines that are all perpendicular to each other in a two-dimensional plane.

I hope this reply helps clarify things for you.
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