Question

Can someone help me understand this? I'll give a medal to anyone that can help.
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.

Answer 1

Since a perpendicular line will always have the same slope of the opposite reciprocal to that of a line, two different perpendicular lines would thus have the same slope, and so they would be parallel.

Ex.
a line perpendicular to the line y=2x could by y = -1/2 x, but it could also be y = -1/2 x + 3, and the two perpendicular lines would be parallel to one another since they have the same slope of -1/2

Answer 2

So, that would make the given information true since segment S goes through both segment R and segment T causing four right angles to form on each segment?

Answer 3

@kirkpatty