Answer
The answer is below.
Work Step by Step
1. We are told that r and s are parallel.
2. Since the transversal t goes through both lines, corresponding angles are congruent.
3. It is given that r is perpendicular to t. By the definition of perpendicular, this means that angle 1 is 90 degrees.
4. Angle 1 and 2 are corresponding angles.
5. From (2), we know corresponding angles are congruent, so angles 1 and 2 are congruent.
6. By the definition of congruent and from (3), it follows that angle two is 90 degrees.
7. If angle 2 is 90 degrees, then s is perpendicular to t.
