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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.
Two parallel lines have equal slope?
Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.
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.
Is it possible to prove that lines p and q are parallel?
Quite possibly, but it will depend on the lines!
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.
What is the two parallel lines?
2 parallel lines are lines that will never intersect
If a transversal intersect two lines such that the bisectors of a pair of corresponding angles are parallel then prove that lines are parallel?
now you can see that two parallel lines are intersected by another two ll lines therefore we can prove congurent in two traingle by constructing a line in quadiletral formed therefore their angle are equal nd are prallel
Does a square have any parallel lines?
yes it has 2 parallel lines
What shape has 2 parallel lines?
A trapezoid has two parallel lines.
How many parallel lines does a rectangle have?
A rectangle has 2 "SETS" of parallel lines. SO it has 4 parallel lines.Two pairs.
