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2 lines that never cross/intersect and stay the same distance apart
Non coplanar lines that aren't parallel or intersecting
planes that do not intersect
A line that intersects two or more lines.
Angles that have the same relative positions in geometric figures.
same side interior angles
On the same side of the transversal, in between the two lines that are cut
alternate interior angles
Angles that lie within a pair of parallel lines and on opposite sides of a transversal; congruent
alternate exterior angles
lines on different sides of the transversal, but on the outside of the lines cut by the transversal
Parallel Planes Theorem
If two parallel planes are cut by a third plane, then the lines of intersection are parallel
Corresponding angles postulate
If two parallel lines are cut by a transversal, then corresponding angles are congruent
Alternate Interior Angles Theorem
If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the two lines are parallel.
Same Side Interior Angles Theorem
If two parallel lines are cut by a transversal, then same side interior angles are supplementary
Perpendicular Transversal Theorem
in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other
Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.