perfect rhyme

from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun Rhyme in which the final accented vowel and all succeeding consonants or syllables are identical, while the preceding consonants are different, for example, great, late; rider, beside her; dutiful, unbeautiful.
• noun Rime riche.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun A (form of) rhyme in which the vowels and final (coda) consonants of stressed syllables (and, in modern English poetry, any following syllables to the end of the words) are identical in sound. (Contrast with half rhyme.)