Tuesday, September 13, 2011

What are the possibilities for the intersection of two of the vertical planes and plane B?

This is for my geometry class. I'm so confused on this so could you help.





-Think of your classroom as a model of six planes. The floor and ceiling are models of horizontal planes A and B, and the four walls are models of vertical planes C, D, E, and F.





--What are the possibilities for the intersection of two of the vertical planes and plane B?|||The only possibility of an intersection would between A or B and two intersecting walls. The point in the common corner would be the intersection


It could be that the floor or ceiling are compared to two parallel walls. There would be no intersection of the three planes - but each of the parallel planes would intersect the horizontal planes a line parallel line parallel to the intersection of the horizontal plane with the other parallel wall.The two intersecting lines would themselves be parallel and consequently never meet.

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