No, they cannot - unless the two lines are effectively the same line.
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If two lines are parallel, they have the same slope.(And if they are perpendicular, the product of their slopes is minus one - unless one line is horizontal and the other vertical.)
No. Vertical lines have the same direction but are not necessarily the same length.Therefore, two vertical lines will have the same angle but possibly not the same magnitiude.
Oh, dude, the letter H totally has parallel lines! I mean, it's like two vertical lines standing next to each other, chillin' and being all parallel and stuff. So, yeah, if you're ever in a parallel lines contest, just bring the letter H and you're good to go.
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
The slopes of two parallel lines will be the same.