Question

Only one perpendicular can pass through a single point prove

Answer 1

yes because a perpendicular line is like a 180°angle and perpendicular is 90°formed that is the region to pass a single point

Answer 2

Let L be a line. Let M and M' be two lines perpendicular to L passing through the same point on L.

Then, clearly M and M' must have the same gradient. So, they are parallel. However, they also intersect since they intersect L at the same point. Therefore, M and M' must be the same line (since they are also parallel).

We conclude that only one perpendicular can pass through a single point, as required.