Thursday, April 24, 2014

Show the techniques necessary to prove that a line is perpendicular to a plane .

There are several methods in order to prove that a line is perpendicular to a plane (P):


-there is a line d1 perpendicular to a line d, where d belongs to (P) => d1 is perpendicular to (P), too.


- d parallel to another line d1, where d1 is perpendicular to (P), so d is perpendicular to (P), too.


- d is perpendicular to a plane (Q), where (Q) is also parallel to (P), so d is perpendicular to (P), too.


- there are 2 concurrent lines, a and b, which belong to (P), d is perpendicular to a and d is perpendicular to b,  so d is perpendicular to (P), too.

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