University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

324

Pages:

2
Author:

Nyla Bryant

Parallel Lines and Transversals Theorems Corresponding Angles Theorem If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. t Examples In the diagram, L2 = L6 and L3 = L7.l p q Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Examples In the diagram, L3 = L6 andlL4 = LS.! p q Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles t are congruent. Examples In the diagram, Ll = L8 and L2 = L7. p q Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. Examples In the diagram, L3 + LS = 180, and L4 + L6 = 180 p q Consecutive Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. Examples In the diagram, L l + L7 = 18� and g2 + L8 = 1so) p q