What step is included in the construction of parallel lines.

Question

What step is included in the construction of parallel lines?

Answer 1

Parallel lines never meet.

That means: (a) they have the same slope on the x-y plane, (b) they are always the same distance apart, (c) for any x, the difference between the y-values of the two lines is constant, etc.  (these are saying the same thing in different ways).

If you draw one line and then want to draw a parallel line, you must pick one of the above statements (they are all equivalent), and ensure that it is true.

For example, pick an x on line 1 and find the y value.  Then, for the same x, the y value of the parallel line is y+Constant.

Oh, another “give away” that lines are parallel:

    In “standard form,” the equations of two lines:    Ax + By = C   is parallel to    nAx + nBy = nC

Also, it is o.k. to measure the minimum distance between the parallel lines (intersecting each at a 90-degree angle) if the math isn’t too complicated.

Ans:  You must endure that the parallel lines stay an equal distant apart (never intersect).