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parallel lines

2 lines that never cross/intersect and stay the same distance apart

skew lines

Non coplanar lines that aren't parallel or intersecting

parallel planes

planes that do not intersect

transversal

A line that intersects two or more lines.

corresponding angles

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.