Final answer:
The rhyme evident in the words 'bluer' and 'her' is known as a slant rhyme or a half rhyme, where the end sounds are similar but not exactly the same.
Step-by-step explanation:
The type of rhyme that is evident in the bolded words 'bluer' and 'her' from the student's question is called a slant rhyme or half rhyme. Slant rhymes are characterized by having similar but not identical sounds. In this case, the end sounds of the words are similar—they both end in an 'er' sound—but the vowels in 'bluer' and 'her' are not the same, making it an imperfect rhyme that provides a more subtle rhyming effect than a full rhyme would.