Answer:
case A.
case B.
case E.
Step-by-step explanation:
we have
we know that
<u>Verify each case</u>
case A)
therefore
is equivalent to
case B)
so
is equivalent to
case C)
therefore
is not equivalent to
case D)
so
is not equivalent to
case E)
therefore
is equivalent to
case F)
so
is not equivalent to
Answer: The answer is D. Trapezoid.
Step-by-step explanation: As shown in the attached figure, a rectangular pyramid ABCDE is drawn. We are slicing this rectangular pyramid parallel to the base BCDE at the points F, G, H and I.
We can clearly see from the figure that upper half of the sliced figure will be similar to the pyramid BCDE and the lower sliced figure will be a trapezoid. These are the three-dimensional figures.
Also, the sliced two-dimensional figure FGHI will be a rectangle, because
the pyramid is a rectangular one and so, FI=GH, FG=HI and all the angles are right angles.
Thus, the resulting two-dimensional figure will be a rectagle.
