How many mays are there to prove that two lines are parallel? Explain what they are and how they work.?

Answer 1

Lots of ways.

You can find a line perpendicular to both of them. Similarly, you can find a line that cuts them both, not perpendicularly, and makes complementary/supplementary angles as if they were perpendicular.

If you have equations, you can prove that they have the same slope (and aren't just the same line).

More generally, you can assume they intersect, think about the point of intersection and the other information you're given, and find a contradiction.

Those are some of the biggies.

Answer 2

enable line a million be y = mx + c and enable line 2 be y = mx + d. If 2 lines intersect, you are able to set them equivalent to a minimum of one yet another and detect their factors of intersection. mx + c = mx + d mx - mx = d - c 0 = d - c IF d = c, then the lines are parallel, yet that could advise that the lines are the two precisely an analogous.