Question

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

Answer 1

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.