Is there a name for this sort of rhyme scheme?

[Otto]

Where the rhyme is part of a word with the rest of the word being part of the “next line”? An example, from the musical “Wicked” (which I saw yesterday in Chicago and loved), the song “Popular”:

@Galinda

Don’t be offendeded by my frank analysis
Think of it as personality dialysis
Now that I’ve chosen to become a pal, a sis-
ter and advisor, there’s nobody wiser

[TWDuke]

@Otto

Where the rhyme is part of a word with the rest of the word being part of the “next line”? An example, from the musical “Wicked” (which I saw yesterday in Chicago and loved), the song “Popular”:

A broken rhyme .

[The_Controvert]

Hey, Yo! Don’tcha know?
Questions 'bout rhymes bro-
ken are best answer’d
witty and clever’d
iambic pentam-ter’d
& self-contain answer’d?