SOLUTION: If planes "a" and "b" are distinct planes having points X,Y, and Z in common, what conclusion can you make about points X,Y, and Z? Please explain this to me. Thank you.

Algebra ->  Points-lines-and-rays -> SOLUTION: If planes "a" and "b" are distinct planes having points X,Y, and Z in common, what conclusion can you make about points X,Y, and Z? Please explain this to me. Thank you.      Log On


   

Question 195294: If planes "a" and "b" are distinct planes having points X,Y, and Z in common, what conclusion can you make about points X,Y, and Z? Please explain this to me. Thank you.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Points X, Y, and Z must be collinear, that is they must all be points in the same straight line. That's because three non-collinear points uniquely define a plane. If X, Y, and Z were non-collinear, then planes a and b would have to be the same plane in order for each of them to contain the three points. However, the problem states that the planes are distinct.

John