In
geometery, a
transversal has several special properties when it passes through two
parallel lines. Given:
A
1|2
---->>---
3|4
5|6
---->>---
7|8
B
In this
example, the traversal is
line AB, which creates angles 1-8. Here are the following
special properties due to the fact that the two lines the tranversal goes through are parralel:
1 is congruent to
5,
2 is congruent to
6,
3 is congruent to
7, and
4 is congruent to
8. These are called
corresponding angles.
3 and
5 are
supplementary, and so are
4 and
6. This means that together, they add up to 180 degrees. These are called
same side interior angles.
3 is congruent to
6 and
5 is congruent to
4. These are called
alternate interior angles.
There are also several vertical angles that would be congruent, but I don't mention it because it's not a direct result of a transversal going through two parralel lines