Is Md5 Encryption Symmetric or Asymmetric?
MD5 is a hashing function, thus by definition it is not reversible. This is not the case for encryption (either symmetric or asymmetric), which has to be reversible to be useful.
To be more precise, hashes are one-way functions, in that an infinite number of inputs can map to a single output, thus it is impossible to obtain the exact input, with certainty, that resulted in a given output.
However, it may be possible to find a different input that hashes to the same output. This is called a collision.
Generally, hashing passwords instead of storing the plain text (even encrypted) is a good idea. (Even better if using a salt) However, MD5 has known weaknesses (and large collections of rainbow tables that aid in finding collisions), thus it would be a good idea to switch to something like SHA-1 or one of the SHA-2 family of hashes.
However, to answer your original question, there is really is no way to compare MD5 or any hash against any type of encryption; they have no equivalents because it's like comparing apples and oranges.
md5 isn't really symmetric or asymmetric encryption because it isn't reversible either symmetrically or asymmetrically. It's a Message Digest (secure hash) algorithm.
It's not encryption, it's a digest. If you didn't salt it, it's not particularly secure, but they're asking you the wrong question.
What exactly are you doing with MD5 and passwords? There are standard ways of doing things here, and it's always better to use one, but without knowing what you want to do it's hard to point you at a relevant standard.