If we're talking in purely geometric terms:
If the edges of a prism/cylinder make a right angle with the base, it is called a right prism/cylinder. If not, it is an oblique prism/cylinder...it will look as if it were slanting to one side instead of standing straight.
Similarly, if the top vertex of a pyramid/cone is directly above the center of the base, it is a right pyramid/cone. Otherwise, it is an oblique pyramid/cone. Again, it will look a bit askew.
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It is a line segment.
If the angle from the base to the highest point is a right angle, it is right. If not, it is oblique.
oblique rectangular
Slanting. A slash (/) is oblique
Rectangular is an adjective, not a noun. So the answer depends on a rectangular WHAT! An oblique rectangular cone need have no line of symmetry.