43.4k views
4 votes
Through a point not on a given line, how many perpendicular lines can be drawn to the given line?

Option 1: Infinite
Option 2: None
Option 3: Two
Option 4: Only one

User Cooxkie
by
8.3k points

1 Answer

2 votes

Final answer:

Only one perpendicular line can be drawn through a point not on a given line.

Step-by-step explanation:

Through a point not on a given line, only one perpendicular line can be drawn to the given line.

To draw a perpendicular line, we need to find the line that passes through the given point and is perpendicular to the given line. This can be done by constructing a line that intersects the given line and is perpendicular to it at the point of intersection.

This means that there can be only one perpendicular line through a point not on the given line.

User Roman Dobrovenskii
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.