October 8, 2008

In class today we learned about lines and transversal. There are three kinds of lines, parallel lines, skew lines and parallel planes. Parallel lines are 2 lines that are coplanar but don't intersect. Skew Lines are 2 lines that are not coplanar and do not intersect. Parallel planes are 2 planes that do not intersect. We also talked about about transversal. Transversal is a line that intersect two or more non coplanar lines and creates angles. There are 4 types, corresponding angles, alternate exterior, alternate interior, consecutive interior. Corresponding angles are angles that correspond from each other, nonadjacent, same side of the trensversal, and one exterior while one is interior. Alternate exterior angles are exterior angles that lie on either side of the rensversal making a linear pair. Alternate Interior angles lie inbetween the non coplanar lines, lie on either side of the transversal, and are non adjacent. Consecutive Interior angles are angles that lie on the same side of the transversal on the interior.

Examples

Parallel Lines

Skew Lines

Parallel Planes

Corresponding angles

Alternate Exterior

Alternate Interior

Consecutive Interior