A triangular prism was perpendicular to its bases and through a vertex. What is the shape of the cross section shown
in the figure?
a parallelogram that is not a rectangle
a rectangle
a triangle that does not necessarily have the same dimensions as either base of the prism"
a triangle that has the same dimensions as either base of the prism

A rectangle

Step-by-step explanation:

The complete question is

A triangular prism was sliced perpendicular to its bases and through a vertex. What is the shape of the cross section shown in the figure?

we know that

In a triangular prism, each cross-section parallel to the triangular base is a triangle congruent to the base, and the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases is a rectangle

See the attached figure to better understand the problem

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have