Write a paragraph proof of this theorem: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

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.

Yes this the right answer Cam great job ^v^

Can you go into more detail cause a kid (in my class) used that answer and got it marked wrong for copying it off here. And i don't wanna meet the same fate as him

@Stray Kids same I usually read the paragraph and then change it with my words.

yea great job cam

yeah i usually do the same thing

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.