3.1:Lines and Angles
Definitions:
Parallel lines - are coplanar and do not intersect
perpendicular lines - intersect at 90 degree angles.
skew lines - are not coplanar, are not parallel and do not intersect
parallel planes - planes that do not intersect
Transversal- the line that intersects two coplanar lines at two different points (blue line)
Corresponding Angles - lie on the same side of the transversal, t, on the same sides of lines r and s
Alternate Interior Angles - nonadjacent, lie on opposite sides of of the transversal, t, between lines r and s
Alternate Exterior Angles- lie on opposite sides of the transversal and outside lines r and s
Same-side Interior Angles - also called consecutive interior angles, lie on the same side of the transvesal between lines r and s
Examples:
Definitions:
Parallel lines - are coplanar and do not intersect
perpendicular lines - intersect at 90 degree angles.
skew lines - are not coplanar, are not parallel and do not intersect
parallel planes - planes that do not intersect
Transversal- the line that intersects two coplanar lines at two different points (blue line)
Corresponding Angles - lie on the same side of the transversal, t, on the same sides of lines r and s
Alternate Interior Angles - nonadjacent, lie on opposite sides of of the transversal, t, between lines r and s
Alternate Exterior Angles- lie on opposite sides of the transversal and outside lines r and s
Same-side Interior Angles - also called consecutive interior angles, lie on the same side of the transvesal between lines r and s
Examples: