nope!
plane
No.
yes they do
Yes.
Two lines with a closing of to other lines like a box
Two lines that do not intersect on the same plane are Parallel lines.
It is a 3D representation in two dimensions. Width and height are drawn on horizontal and vertical lines and depth is on an angled line, usually 30 or 45 degrees.
Two lines can lie in one plane. For example, parallel lines are lines that intersect and lie in the same plane.
The two lines that meet at a common point but do not form right angles are known as oblique lines. These lines intersect at an angle that is not 90 degrees, creating an acute or obtuse angle instead. They can be found in various geometric shapes and are essential in understanding the properties of angles and lines in a plane.
two diagonal lines that aren't touching
They can be, but not necessarily. If two lines in the same plane never intersect, they are parallel. Though, two lines can exist in the same plane without being parallel. Ie, two lines that intersect at a 90 degree angle are perpendicular. Most lines in a plane aren't parallel.
Parallel lines