Question

(30 points)

7. Write a paragraph proof of Theorem 3-8: In a plane, if two lines are perpendicular to the same
line, then they are parallel to each other.
Given: Isils
Prove: r1
12
4

Answer 1

Since r and t are each perpendicular to s, angles 1 and 5 are right angles and therefore are congruent corresponding angles. Since two lines cut by a transversal are parallel if the corresponding angles are congruent, lines r and t are parallel.

Explanation: