Answer with explanation:
It is given that , the prism is a Square Prism.Let us suppose that edges of square are of Length a.
Diagonal of Square =AB
[tex]=\sqrt{a^2+a^2}\\\\=\sqrt{2a^2}\\\\=a\sqrt{2}[/tex]
When we join the four points, of Square prism ,A, B , C and D we get a polygon made up of four line segments,having opposite sides equal.
AB=CD=a√2
AD=BC=a
The Quadrilateral having Opposite sides equal is called Parallelogram.
Since it is a square prism,the angle between each of two adjacent edges has measure of 90°.
Now , Angle between each of two adjacent edges of Parallelogram A B CD, has measure equal to 90°, so if in a Parallelogram one angle has measure equal to 90°,it is a Rectangle.
Option (a) a rectangle that is not necessarily a square
