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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

## Multiple Choice Questions

**1. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Intersection. **(b)** Circle. **(c)** 180 degree angle. **(d)** Parallel lines.

**2. Which of the following was one of Euclid's great theorems?**
**(a)** There exists an infinite number of prime numbers. **(b)** There exists only infinite and whole numbers. **(c)** There exists an finite number of prime numbers. **(d)** Prime numbers are more comples than discrete numbers.

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

**4. How do we know about Hippocrates proofs and theorems?**
**(a)** His books and publications. **(b)** What we know is from references of later mathematicians. **(c)** What is known from archived documents of his time. **(d)** Mathematicians rewrote all of his proofs after his death,

**5. After Hippocrates, what shape did the Greeks attempt to square without success?**
**(a)** Hemisphere. **(b)** Parallelogram. **(c)** Circle. **(d)** Pentagon.

## Short Answer Questions

**1.** That properties of specific shapes were early Egyptians aware of?

**2.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**3.** What did Euclid do in his 48th proposition?

**4.** How many sides did the pentadecagon have, as presented by Euclid?

**5.** What was Euclid's definition of a prime number?

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