A plane slices through a prism parallel to the bases to create a cross section shaped like a right triangle.
If the prism stays in the same location, how could the plane be moved to
create a cross section shaped like a rectangle?

A. Move the plane so it slices through the prism perpendicular to the bases

B. Move the plane up so it slices through the prism at a higher height still parallel to the base

C. Move the plane down so it slices through the prism at a lower height still parallel to the base

D. Move the plane so it slices through the prism intersecting the bases at a 45 degree angle

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

i have not got your picture clearly so see it once again