Perfect rhyme, also called "full" rhyme, occurs when the endings of two words perfectly match in sound. Some familiar full rhymes are "true" and "blue" or "dove" and "love." Perfect rhymes are almost instantly recognizable to the ear and are very common in poetry, particularly in traditional metrical poetry in the English tradition.
Slant rhyme, also called half rhyme, means using ending sounds that are not perfect rhymes but have sounds that resemble the previous word's sound. Examples are words such as "have" and "salve" or "need" and "had." Note here that there are reminiscent, but slightly different consonant and vowel sounds. The poet Emily Dickinson was famous for using this kind of rhyme.
Assonant rhyme uses the same vowel sounds but different consonant sounds in the word endings. For example, "cake" and "made" have the same "a" sound but differing consonants at the end of the word. Assonant rhymes are similar to slant rhymes in that they are not full rhymes.
Eye rhyme, also called spelling rhyme, involves words that have similar endings visually, but not necessarily in sound. Some examples of eye rhyme are the words "move" and "love" or "come" and "home." Both sets of words have the same ending letters, but their differences in pronunciation do not make them full rhymes.