Question

50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS!!! HELP MEEEEEEEE

Answer 1

In geometry it is the shape made when a solid is cut through by a plane.

Example:

Part A: The name of the shape created by cross section of the prism is a square

(We don't draw the rest of the object, just the shape made when you cut through.)

if Part B is a continuation from Part A then the shape of the resulting cross section would be a square.

if Part B is completely separate from Part A then the shape of the resulting cross section would be a rectangle.

Since the wording is confusing I would, for part B, say that the shape of the resulting cross section is a rectangle regardless, because every square is always a rectangle but every rectangle is not always a square.

Part A- Square

Part B- Rectangle

Answer 2

Hey there, Lets solve this step by step.

If you cut along any line parallel to the base, you'll basically get 2 prisms. A prism is a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

These two prisms will have the same bases: a rectangle that is congruent to the base of the original prism. So that's why the cross section is the same as the base. 

If you cut a line that is perpendicular to the base, then the cross section will look like one of the lateral faces (it will depend how you cut it)

Remember rectangle prism all sides are congruent. 

The original prism has congruent opposite lateral faces the same applies for each smaller prism when we cut the original prism into 2 pieces

Part A- Square

Part B- Rectangle