Actually, it does “hold true,” but it requires a minor detour into the field of optics and virtual images.
All reflecting surfaces (mirrors) form an “image,” so to speak.
For a flat (plane) surface, the reflected rays of light leave the mirror at the same angle that the incoming rays made to the normal (perpendicular) to the surface at that point. Parallel incident rays remain parallel after reflection, and the “focus” is at infinity, so there is no true image; the rays of light have merely been redirected. Your eye then perceives objects in the mirror as if they were located the same distance behind the mirror as they are in reality in front of it.
For a convex mirror (bulging out toward you,) the reflected angle = incoming angle still applies, but, since the surface is curving continuously, the normal, hence, the direction of the reflected ray, changes for every point on the mirror. Parallel incoming rays will diverge upon reflection. But if you project them back into the mirror, it will appear that they originated at a “virtual focus” (since it does not really exist.) An object viewed in such a mirror will appear closer than it is in reality (such as the rear-view mirrors on the passenger side of many cars.) An object at infinity (or very far away) will appear to be at a distance twice the radius of curvature of the convex surface, behind the mirror.
A concave mirror, on the other hand, forms a “true image” in front of the mirror. The angle of reflection = the angle of incidence, as before, but now the surface is curving the opposite way, and parallel rays striking the surface will converge upon reflection. Projecting the reflected rays through the mirror, they diverge from the real focus in front of the mirror. If your eye is located between the focus and the mirror, objects will appear closer, and magnified, compared to how they are in reality (like many concave make-up mirrors.) If your eye is farther from the mirror than the focus, reflected objects appear inverted (upside-down/umop-[SIZE=2][SIZE=3]əp!sdn[/SIZE][/SIZE].) If your eye is in line with the axis of the reflecting surface, you can see an inverted actual image floating in the air at the point of focus.
Concave mirrors are used for virtually all large telescopes, and the real image is formed at the Prime Focus. Sometimes, instruments are placed at the prime focus (spectrometers, cameras, etc.) Or, you can place an eyepiece beyond the focus and examine the image, as you would a real object with a magnifying glass.
In all cases, the reflected image is perceived as coming from behind the mirror, not from its surface. So, The Master’s explanation holds for all cases, he merely confined it to the context of the case at hand.