A line and a plane are perpendicular if they intersect and if every line lying in the plane and passing through the point of intersection is perpendicular to the given line.
Could someone rewrite this differently?
Thx
A line and a plane are perpendicular if they intersect and if TWO lineS lying in the plane and passing through the point of intersection ARE perpendicular to the given line.
How about:
A line and a plane are perpendicular if the line is a normal to the plane.
To determine if a line and a plane are perpendicular, they must intersect, and every line within the plane that passes through the point of intersection must be perpendicular to the given line.
Two geometric objects, namely a line and a plane, are perpendicular if they meet at a point of intersection and if any line within the plane that passes through this point of intersection is also perpendicular to the given line.
In other words, when a line and a plane are perpendicular, they intersect at a point, and any line that lies in the plane and passes through this intersection point is at a 90-degree angle (perpendicular) to the given line.