A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure? A rectangular pyramid. The cross section is a triangle.

a triangle that has the same dimensions as one of the sides of the pyramid
a triangle that does not have the same dimensions as one of the sides of the pyramid
a parallelogram that is not a rectangle
a rectangle

Option C:

A triangle that does not have  the same dimension as one of the sides of pyramid.

Because

There is a rectangular Pyramid, which is sliced perpendicular to its base and through its vertex.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: