Category:Perpendicular from Point to Straight Line in Plane is Unique

This category contains pages concerning Perpendicular from Point to Straight Line in Plane is Unique:

Let $BC$ be a straight line in the plane.

Let $AM$ be perpendicular to $BC$ at $M$.

Let $P$ be an arbitrary point on the same side of $BC$ as $A$ is, but not on $AM$.

Then $PM$ cannot be perpendicular to $BC$.