Big Ideas Math Geometry Chapter 3 Vocabulary
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                 1.    parallel lines                            Coplanar lines that do not intersect.                                                                                11.  Linear Pair
                                                                                                                                                                                           Perpendicular
                 2.    skew lines                                Lines that do not intersect and are not
                                                                                                                                                                                           Theorem
                                                                 coplanar.
                                                                                                                                                                                                                                                                                                                          
                 3.    parallel
                                                                                                                                                                                                                                      If two lines intersect to form a linear pair of
                       planes
                                                                                                                                                                                                                                                congruent angles, then the lines are
                                                                                                                                                                                                                                                                         perpendicular.
                                                                                                                                                                                      12. Perpendicular
                                                                                                                                                         
                                                                                                                                                                                           Transversal
                                                                                Two planes that do not intersect.
                                                                                                                                                                                           Theorem
                 4.    transversal                               A line that intersects two coplanar lines at
                                                                 two distinct points.
                                                                                                                                                                                                                                                                                                                       
                                                                                                                                                                                                                                         If a transversal is perpendicular to one of
                 5.    corresponding
                                                                                                                                                                                                                                      two parallel lines, then it is perpendicular to
                       angles
                                                                                                                                                                                                                                                                               the other.
                                                                                                                                                                                      13. Lines
                                                                                                                                                          
                                                                                                                                                                                           Perpendicular
                                                                         Angles formed by a transversal cutting
                                                                                                                                                                                           to a
                                                                   through 2 or more lines that are in the same
                                                                                                                                                                                           Transversal
                                                                                                                                                                                                                                                                                                                        
                                                                                                   relative position.
                                                                                                                                                                                           Theorem
                                                                                                                                                                                                                                       In a plane, if two lines are perpendicular to
                 6.    alternate
                                                                                                                                                                                                                                      the same line, then they are parallel to each
                       interior angles
                                                                                                                                                                                                                                                                                    other.
                                                                                                                                                                                      14. Slopes of
                                                                                                                                                          
                                                                                                                                                                                           Parallel Lines
                                                                    Angles that lie within a pair of lines and on
                                                                                  opposite sides of a transversal.
                 7.    alternate
                                                                                                                                                                                                                                                                                                                     
                       exterior
                                                                                                                                                                                                                                      In a coordinate plane, two non-vertical lines
                       angles
                                                                                                                                                                                                                                     are parallel if and only if they have the same
                                                                                                                                                        
                                                                                                                                                                                                                                          slope. Any two vertical lines are parallel.
                                                                  Angles that lie outside a pair of lines and on
                                                                                                                                                                                      15. Slopes of
                                                                                  opposite sides of a transversal.
                                                                                                                                                                                           Perpendicular
                 8.    consecutive
                                                                                                                                                                                           Lines
                       interior angles
                                                                                                                                                                                                                                                                                                                     
                                                                                                                                                         
                                                                                                                                                                                                                                      In a coordinate plane, two non-vertical lines
                                                                   Angles that lie within a pair of lines and are
                                                                                                                                                                                                                                       are perpendicular if and only if the product
                                                                             on the same side of the transversal.
                                                                                                                                                                                                                                       of their slopes is -1. Any horizontal line and
                 9.    distance from
                                                                                                                                                                                                                                                      vertical line are perpendicular.
                       a point to a
                                                                                                                                                                                      16. Parallel
                       line
                                                                                                                                                                                           Postulate
                                                                                                                                                         
                                                                      The length of the perpendicular segment
                                                                                                                                                                                                                                                                                                                      
                                                                                         from the point to the line.
                                                                                                                                                                                                                                       If there is a line and a point not on the line,
                 10. perpendicular                               A line that is perpendicular to a segment at                                                                                                                             then there is exactly one line through the
                       bisector                                  its midpoint.                                                                                                                                                                        point parallel to the given line.
              17.   Perpendicular                                                                                                                      25. Consecutive
                    Postulate                                                                                                                               Interior Angles
                                                                                                                                                            Converse
                                                                                                                          
                                                                                                                                                                                                                                                                        
                                                         If there is a line and a point not on the line,
                                                                                                                                                                                                     If two lines are cut by a transversal and
                                                            then there is exactly one line through the
                                                                                                                                                                                                   consecutive interior angles are congruent,
                                                               point perpendicular to the given line.
                                                                                                                                                                                                                   then the lines are parallel.
              18. Corresponding                         If two parallel lines are cut by a transversal,
                                                                                                                                                       26. Transitive
                    Angles                              then the pairs of corresponding angles are
                                                                                                                                                            Property of
                    Theorem                             congruent.
                                                                                                                                                            Parallel Lines
              19.   Alternate                           If two parallel lines are cut by a transversal,
                    Interior                            then the pairs of alternate interior angles
                                                                                                                                                                                                                                                                         
                    Angles                              are congruent.
                                                                                                                                                                                                     If line l is parallel to line m and line m is
                    Theorem
                                                                                                                                                                                                    parallel to line n, then line l is parallel to
              20. Alternate                             If two parallel lines are cut by a transversal,
                                                                                                                                                                                                                                       line n.
                    Exterior                            then the alternate exterior angles are
                    Angles                              congruent.
                    Theorem
              21. Consecutive                           If two parallel lines are cut by a transversal,
                    Interior                            then each pair of consecutive interior
                    Angles                              angles is supplementary.
                    Theorem
              22. Corresponding
                    Angles
                    Converse
                                                                                                                            
                                                             If two lines are cut by a transversal and
                                                          corresponding angles are congruent, then
                                                                               the lines are parallel.
              23. Alternate
                    Interior
                    Angles
                    Converse
                                                                                                                            
                                                             If two lines are cut by a transversal and
                                                        alternate interior angles are congruent, then
                                                                               the lines are parallel.
              24. Alternate
                    Exterior
                    Angles
                    Converse
                                                                                                                           
                                                             If two lines are cut by a transversal and
                                                             alternate exterior angles are congruent,
                                                                          then the lines are parallel.