Perpendicular Transversal Theorem
In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other line also.
Given:
Prove:
Proof
Statement |
Reason |
|
1 |
|
Given |
2 |
 is a right angle |
Definition of perpendicular lines |
3 |
 |
Definition of right angle |
4 |
 |
Corresponding angles |
5 |
 |
Definition of congruent angles |
6 |
 |
Substitution Property |
7 |
 is a right angle |
Definition of right angle |
8 |
 |
Definition of perpendicular lines |
