Thursday, November 29, 2012

Special Angles Created With Parallel Lines

There are 4 types of special angles that can be made with parallel lines that are cut by a transversal. A transversal is a line that intersects two or more other coplanar lines. Shown in the image below:

When the transversal cuts between the two parallel lines it forms three types of angle pairs: Corresponding angles, Alternate interior angles and Alternate exterior angles.


Once the Parallel lines are cut by the transversal , the corresponding angles are always congruent , unless the two angles don't equal up to 180 degrees.






Since the corresponding angles angles are congruent, the alternate interior angles will be too.






The alternate exterior angles will also be congruent because the interior angles are already congruent and because they're verticle angles

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