MomoBaku

MomoBaku is the het ship between Momo Yaoyorozu and Katsuki Bakugou from the My Hero Academia fandom.

Canon
Unlike their other classmates, Momo appears relatively unimpressed upon seeing Katsuki’s incredulous throw of 705 meters (in the quirk apprehension tests), and simply stares boredly, as if it is nothing more than a daily feat to her. This gives the early impression that she doesn’t seem to find Katsuki any more exceptional than anyone else, which proves to be rather defining in later times.

During Katsuki (and Tenya’s) Battle Trial against the team of Izuku and Ochako, During Katsuki’s battle trial (with Tenya, against Ochako and Izuku), Momo comments that his feint attacks are impressive, as they require an extreme amount of precision, and adds that he demonstrated an incredible control over his quirk, alongside calculating the physics in which he moved at. She is the only one to manage to deduce this. At the end of the fight, she looks rather disappointed in Katsuki's behavior compared to the disturbance of the others.

After Katsuki, Izuku, Tenya and Ochako are gathered, Momo gives commentary on the fight, and what each student did wrong. She gives an entire analysis on Katsuki, rather than just calling him the usual “reckless”, and seems to truly hit every sensitive spot in Katsuki’s heart. This only worsens when she is revealed to have entered U.A through recommendation alongside being the first admitted to U.A. This is the first time Katsuki realizes that there are others, including Momo that are more capable- and even more worthy of becoming no. 1 than him, which is a defining point in his early (character) development.

On the bus ride to the USJ, Katsuki is angered by Denki stating that he has the personality of a “steamed turd”. As he yells, Momo holds a repulsed hand over her mouth, and complains to Ochako about the vulgarity of his language. In the obstacle course of the Sports Festival, Momo along with Katsuki and other students are able to avoid Shoto's ice attack to continue in the competence.

Soon after Katsuki's kidnapping by the League of Villains in the Forest Camp, Class 1-A makes a visit to their fellow classmates who were injured during the camp, and were thus charged into a hospital. During the visit, Eijiro becomes emotional and (loudly) expresses the guilt he feels over the loss of Katsuki, and not being able to fight for him before suggesting that the class rescue him themselves. Tenya immediately shuts this idea down due to the complete idiotic nature of it. However, that night, the group of Eijiro, Izuku, Shoto, and Momo, who’d managed to stick a tracker on the body of her previous Nomu attacker (Tenya joins them soon after, albeit hesitantly). Momo aids the final act of bringing Katsuki to safety, and is with him as he is brought to the police for questioning/aid. It is quite notable that Momo, who hails from a noble family of heroes would defy orders from her greaters to assist bringing Katsuki to safety, despite the risk it would hold to her (future) career.

After being recruited, in a way by Kyoka to play in the Band sector of 1-A’s upcoming concert, Katsuki and Momo play the respective instruments of drum-set and keyboard. Post concert, Katsuki seems to have notably more respect, and a sense of closeness towards his bandmates, including Momo.

Fanon
Due to high competition from either character’s (most widely considered) “canon” ships (KiriBaku/TodoMomo), MomoBaku is not a particularly popular pairing and remains a “rare-pair”, although its twist on the typical “good girl/bad boy” trope still manages to reel in fans in a similar manner to Kacchako. Momo holds a notably respectable stance in heroics thanks to her background, which seems to have brought her a sort of respect from Katsuki from the start that did not go un-missed by fans of either character.

Additionally, in a joking manner, fans have stated that Momo could act in the “dominant” role of their relationship as opposed to the headstrong Katsuki, although this does, of course, spark genuine interest in fans of such a concept. As well as this, Momo has also proven to be one that could drag Katsuki down from his “high horse” in a way without shattering his inflated heart. Noted by fans, two are those who tutor their ‘less academically gifted’ classmates as well, although Momo does a study group while Katsuki just tutors Eijiro.

BakuMomo has about 400 fics on AO3.

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Trivia

 * Katsuki and Momo are roughly the same height; Momo is 1 centimeter taller than Katsuki (Momo = 173 cm, Katsuki = 172 cm).
 * The two rank in the top three in the class when it comes to intelligence, Momo is no. 1, while Katsuki is no. 3 (just behind Tenya).
 * Both are considered to be amongst the most (physically) gorgeous in their class.
 * Momo and Katsuki are both known to have past interest in music aside from hero work, as shown by their respective interests in keyboard and drumming. Additionally, both these instruments are counted as ‘percussion’.