A colon is mostly used to show that you are going to make a list of things after the comma. So, having that in mind, the correct answer is the first option - I edited the article and found: comma splices, sentence fragments, and misplaced modifiers.
You listed three things here, therefore you have to put a colon. If you are going to mention only one thing, like in the other examples, a colon is not needed.
Answer: In Greek mythology, the Titan Prometheus had a reputation as being something of a clever trickster and he famously gave the human race the gift of fire and the skill of metalwork, an action for which he was punished by Zeus, who ensured everyday that an eagle ate the liver of the Titan as he was helplessly chained to a rock.
Prometheus (meaning "Forethought") was one of the ringleaders of the battle between the Titans and the Olympian gods led by Zeus to gain control of the heavens, a struggle which was said to have lasted ten years. Prometheus did, however, switch sides and support the victorious Olympians when the Titans would not follow his advice to use trickery in the battle.
According to Hesiod's Theogony, Prometheus' father was Iapetus, his mother was Clymene (or Themis in other versions) and his brothers were fellow Titans Epimetheus (Afterthought or Hindsight), Menoetius, and Atlas. One of Prometheus' sons was Deucalion, an equivalent of Noah, who survived a great flood by sailing in a great chest for nine days and nights and who, with his wife Pyrrha, became the founder of the human race.
In some traditions, Prometheus made the first man from clay, whilst in others, the gods made all creatures on Earth, and Epimetheus and Prometheus were given the task of endowing them with gifts so that they might survive and prosper. Epimetheus liberally spread around such gifts as fur and wings but by the time he got around to man, he had run out of gifts.
Explanation:
h t t p s : / /w w w. a n ci e nt. eu/P ro me th eus /
Answer:
Industrialization has knit the world together -not just in having wrought profound technological change, but also in the consequences, both economic and social, of that change. Industrialization allowed for the mechanization of Euro-American societies and the mass production of commodities and finished goods. At the same time, industrialization facilitated the destruction of local environments all over the world with pollution and resource depletion. Industrialization also provided the means by which Europeans, Americans, and the Japanese dominated cultures and societies around the globe through both formal and informal imperialism. As a result, the "progress" of the nineteenth century should be viewed globally, with truly global consequences that still challenge the planet and its peoples.