A regular prism has two congruent rectangles as its bases. How can one base be transformed to carry onto the other?

One base must be translated to carry onto the other base

One base must be rotated to carry onto the other base

It is impossible to carry one base onto the other base

One base must be reflected to carry onto the other base

Question

Mathematics

Barrett Herring

4 October, 02:28

A regular prism has two congruent rectangles as its bases. How can one base be transformed to carry onto the other?

One base must be translated to carry onto the other base

One base must be rotated to carry onto the other base

It is impossible to carry one base onto the other base

One base must be reflected to carry onto the other base

+3

Answers (1)

Know the Answer?

Rhett Stein · Answer 1

One base must be translated to carry onto the other base

Step-by-step explanation:

A regular prism has two congruent rectangles as its bases. Since the bases of the prism are congruent and oriented the same way, neither reflection nor rotation will work to carry one base onto the other. It doesn't matter how many sides a geometric shape has.

Therefore the correct option is:

One base must be translated to carry onto the other base.