Where are are the options?
Pythagoras was known for creating the Pythagorean Theorem, which was named after him. The Pythagorean Theorem uses the equation to find the sides of a right triangle.
Pythagoras = photo 2
Ptolemy believed that Earth was at the center of the universe, not the Sun.
Ptolemy = photo 1
Archimedes was known for discovering the law of hydrostatics, which says that a body put in fluid loses weight equal to the weight of the amount of fluid it displaces.
Archimedes = photo 4
Eratosthenes was famous for making the first measurement of the size of Earth.
Eratosthenes = photo 3
I dont understand what you are asking
Convergent. Think: if plate zones are moving apart, why would there be an earthquake? An earthquake happens when two plates run against each other & get caught on each other, and as soon as they snap back to where they should be, you have an earthquake (because the planes shift back so quickly).