The edges of the cuboid ABCDEFGH define the following geometric elements:
the line q,
planes and
planes .
The following relationships apply between the elements:
The plane passes through points A, C and D.
The plane has points A and D in common with the plane , and also passes through the point E.
The line q is perpendicular to the plane and passes through the point B.
Substitute the above three geometric elements correctly in the cuboid and write down the relationships between them with symbols.