Draw a diagram of a right-angled prism for which the object and image are of the same size.

(N/A) For a right-angled prism to produce an image of the same size as the object,the prism must be used in a configuration where the light rays undergo total internal reflection such that the magnification $m = 1$.
This occurs when the object is placed at a specific distance such that the rays entering the prism are reflected by the hypotenuse face.
In a $45^{\circ}-45^{\circ}-90^{\circ}$ prism,if the light enters normal to one of the shorter faces,it hits the hypotenuse at an angle of $45^{\circ}$.
Since $45^{\circ}$ is greater than the critical angle for glass (which is approximately $42^{\circ}$),the light undergoes total internal reflection.
The image formed is erect and of the same size as the object,acting as a reflecting prism.