proving parallel lines cut by a transversal Flashcards
are coplanar lines or lines which lie on the same plane that do not
intersect each other.
parallel lines
a line that intersects two or more
coplanar lines at two or more
distinct points.
transversal lines
two nonadjacent angles,
one interior,and one
exterior on the same
side of the transversal
corresponding angles
two non adjacent interior
angles on opposite sides
of the transversal
alternate interior angles
two non adjacent exterior
angles on opposite sides
of a transversal
alternate exterior angles
angles that lie between
the two parallel lines on the
same side of the transversal
same side interior angles
angles that lie outside
the two parallel lines on the
same side of the transversal
same side exterior angles
is a pair of angles formed when two lines intersect each other at a single points. These angles are always adjacent and supplementary as they form on a straight line.
linear pair
When two straight lines
intersect each other
vertical angles
Vertical angles
are always _________ and ___________
equal and congruent
postulate 15 If two lines are cut by a transversal, then any pair of alternate interior angles are congruent.
Parallel-Alternate Interior Angle Postulate
theorem 41 If two lines are cut by a transversal, then any pair of alternate exterior
angles are congruent.
Parallel-Alternate Exterior Angle Theorem
theorem 42 If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
Parallel-Corresponding Angles Theorem
Theorem 43 If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are supplementary.
Parallel-Interior Angles Same Side Theorem
theorem 44 If two parallel lines are cut by a
transversal, then the exterior angles on the same side of the transversal are supplementary.
Parallel-Exterior Angle Same Side Theorem
