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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

## Multiple Choice Questions

**1. Who was the author of the book Elements?**
**(a)** Hippocrates. **(b)** Einstein. **(c)** Euclid. **(d)** Lindemann.

**2. What does the Pythagorean Theorem state?**
**(a)** For any right triangle the diagonal side is equal to the sum of the legs. **(b)** For any triangle the sum of the legs squared is equal to the length of the hypotenuse. **(c)** For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(d)** For any triangle the sqaured sum of the legs is equal to half the hypotenuse.

**3. Which was true of Euclid's number theory?**
**(a)** It has been proven too basic to be useful. **(b)** It has an impact on modern math. **(c)** It was incorrect, as proved by Plato. **(d)** It was proven to the true by Hippocrates.

**4. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The ability to find square roots. **(b)** The concept of constructing useful mathematics. **(c)** The ability to measure angles. **(d)** The concept of providing a logical proof.

**5. Besides being a mathematician, what else other work was Archimedes famous for?**
**(a)** Inventor and scientist. **(b)** Politician. **(c)** Doctor and writer, **(d)** Artist and musician.

## Short Answer Questions

**1.** What instruments did the Greeks use to square a shape?

**2.** After working on pi, what did Archimedes continue with in his study of mathematics?

**3.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**4.** Which of the following could NOT be included as a step in Euclid's great theorem?

**5.** After Hippocrates, what shape did the Greeks attempt to square without success?

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