Planes a and d are two distinct planes that intersect at line w. Line x is drawn perpendicular to plane d. Which of the following statements is always true?

Question

Planes a and d are two distinct planes that intersect at line w.  Line x is drawn perpendicular to plane d.  Which of the following statements is always true?

anonymous · Answer

A.	Plane a must be perpendicular to plane d.
	B.	Line x is not perpendicular to plane a
	C.	Line x must be perpendicular to line w.
	D.	Line x is perpendicular to plane a

anonymous · Answer

@Lena772 or @hero can you help?

ranga · Answer

Line x is perpendicular to plane d.  Line w lies on plane d.  Therefore, we can conclude ....?

anonymous · Answer

idk i wanna say either A or C? 
i know forsure it isnt D.

anonymous · Answer

@ranga ?

anonymous · Answer

wait wait wait nvm i say its either B or C

ranga · Answer

A cannot ALWAYS be true.  In the diagram shown it certainly is not true.

ranga · Answer

You can visualize it this way.  Take the flat surface of your desk (plane d) and place a pencil standing up on it (line x).   Then draw any straight line on your desk anywhere.  Won't the pencil always be perpendicular to thet line?

anonymous · Answer

yes.

ranga · Answer

And here the line w is on plane d.  Since x is perpendicular to plane d it must also be perpendicular to line w always.

anonymous · Answer

ok that makes sense. thanks(: 
think you could help with some other questions? just 2 or 3 more? i have them done i just need to know if they are right or not.

ranga · Answer

Let us try one more.

anonymous · Answer

ok ill tag u in a post