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To actually prove this, you need a line that cuts across the two parallel lines. This is called a transversal. That creates 8 angles (this would be a lot easier to explain with a diagram).
If the lines are parallel, then one of these statements will be true:
(i) corresponding angles will be equal
(ii) alternate interior angles will be equal
(iii) alternate exterior angles will be equal
(iv)the interior angles on the same side of the transversal will be supplementary, i.e. add up to 180°
Of course, this only applies in Euclidean Geometry. There are branches of Geometry, called Non-Euclidean Geometry which is based around different postulates but that's another story and it is exciting.
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How can coordinate proof be used to prove two lines are parallel?
you can coordinate parallel because parallel lines never touch or cross
What IS Special About corresponding angles?
Corresponding angle are used to prove if lines are parallel. If they are congruent then the lines cut by the transferal are parallel.
How many parallel lines does a parallelogram have?
2 pairs of parallel lines
How many parallel lines does a diamond have?
There are 2 sets of parallel lines.
How do you prove that two lines will never meet can someone help with the method to say that they are parallel?
By stating they are parallel.
