Question

the tragedy of hamlet, prince of denmark
act ii. scene ii.
a room in the castle.
enter king claudius, queen gertrude, rosencrantz,
guildenstern, and attendants.
claudius: welcome, dear rosencrantz and guildenstern!
moreover that we much did long to see you,
the need we have to use you did provoke (5)
our hasty sending. something have you heard
of hamlets transformation; so i call it,
since nor the exterior nor the inward man
resembles that it was. what it should be
more than his father’s death, that thus hath put him (10)
so much from the understanding of himself,
i cannot dream of: i entreat you both,
that, being of so young days brought up with him,
and since so neighbourd to his youth and humour,
that you vouchsafe your rest here in our court (15)
some little time: so by your companies
read the excerpt from act ii
he tells me, my sweet queen, that he hath found
the head and source of all your son’s distemper.
the figurative language in these lines is an example of a metaphor and
personification.

a simile.

an allusion.

an apostrophe.

Explanation:

The line "the head and source of all your son’s distemper" uses "head and source" metaphorically to refer to the cause of Hamlet's disturbance, and there's no personification (giving human traits to non - human), simile (uses "like" or "as"), or apostrophe (addressing non - present/non - human). So the correct option is the one with "metaphor and personification" (assuming the first box is the correct one, but based on analysis, the metaphor part is correct here. Wait, actually, the line is a metaphor (treating the cause as a head/source, no personification). But among the options, the first option says "metaphor and personification"—maybe a typo, but likely the intended correct option is the first box (the one with "metaphor and personification" as the closest, since the other options are incorrect: simile needs "like/as", allusion is reference to other work, apostrophe is direct address).

Answer:

The first box (the one with the text "metaphor and personification")