asked 42.7k views
5 votes
In a plane, if two lines are perpendicular to the same line, then they are _____ to each other.

asked
User Kukiwon
by
8.2k points

2 Answers

2 votes
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other
answered
User Fferrin
by
9.0k points
1 vote

Answer: The answer is parallel.

Step-by-step explanation: We are asked the relation between two lines which are perpendicular to the same line.

As shown in the attached figure, lines 'm' and 'n' are perpendicular to the line 'l'.

If k, p and g are the slopes of the lines 'l', 'm' and 'n' respectively, then we will have


k* p=-1,\\\\k* g=-1.

Comparing both the equations, we arrive at


p=g.

We know that if the slopes of two lines are equal, then they must be parallel. So, the complete statement is

"In a plane, if two lines are perpendicular to the same line, then they are parallel to each other."

In a plane, if two lines are perpendicular to the same line, then they are _____ to-example-1

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.