​Angle Measures and Parallel Lines

About Geometry Worksheet Assignment 4.7:     

 

Assignment 4.7 is the development and application of theorems for determining whether two lines intersected by a transversal are parallel.

 

Prerequisite Skill:  Calculate the measures of angles in linear pairs (Assignment 4.4).

 

Theorems:  If two lines are intersected by a transversal so that the corresponding angles are congruent, then the lines are parallel.

                          If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.

                          If two lines are intersected by a transversal so that the corresponding angles are congruent, then the lines are parallel.