An object's size and its image's size is the same in a mirror. What could be the type of mirror?
Either plane or concave
The image formed by a plane mirror is always erect and of the same size as the object.
Also, if an object is at the geometric centre of the concave mirror (also known as centre of curvature), then the image will be real, inverted and of the same size as the object.
Hence the mirror could be a concave or a plane mirror.