What is the minimum height for a mirror to see full image?

[Dars]

Homework Statement

I am 2 meters tall and I want to see my full image in a mirror. What is the minimum height the mirror should be?

Homework Equations

Why shouldn't min height be also 2m, because no magnification (plane mirror) ??

The Attempt at a Solution

 

[The legend]

Here, drawing a ray diagram would really help, because I have seen a lot of confusion among guys about this question... so draw the RD and post it here, and believe me, it helps a lot.