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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

**1. What was true about Hippocrates's proof?**
**(a)** It was fairly easy and simple. **(b)** The proof was exceedingly difficult and not understood at the time. **(c)** The proof was easy if their was advanced technology available. **(d)** It was useful for circles.

**2. What did Hippocrates do that advanced mathematical methods?**
**(a)** He built theorems based on sequencially more complex proofs. **(b)** He created a new ways to disprove theories. **(c)** He proved that mathematics can be applied in a unlogical order. **(d)** He demonstrated that geometry does not have to be based on previous knowledge.

**3. Which of the following were an example of twin primes?**
**(a)** 11 and 13. **(b)** 15 and 16. **(c)** 19 and 22. **(d)** 2 and 6.

**4. Dunham showed that Heron's proof could also be used as which of the following?**
**(a)** A proof of Hippocrates' squared areas. **(b)** A proof of Archimedes' number theory. **(c)** A proof of the Pythagorean Theorem. **(d)** A proof of Euclid's number theory

**5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Hyperbola. **(b)** Hexagon. **(c)** Pentagon. **(d)** Triangle.

## Short Answer Questions

**1.** According to Euclid, when is a triangle a right triangle?

**2.** Which of the following is false about the modern implications of Euclid's number theory?

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

**4.** Who was Eratosthanes?

**5.** Which was true of Euclid's number theory?

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