Aplane intersects a solid. the resulting cross section is a trapezoid.
which situation describes the intersection?
a.
the plane intersected a rectangular prism parallel to its base.
b.
the plane intersected a rectangular pyramid perpendicular to the pyramid’s base and through its vertex.
c.
the plane intersected a rectangular pyramid perpendicular to the pyramid’s base and not through its vertex.
d.
the plane intersected a rectangular pyramid parallel to its base.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.