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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. How many sides did the pentadecagon have, as presented by Euclid?**
**(a)** Twenty. **(b)** Fifteen. **(c)** Ten. **(d)** Five.

**2. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Parabola. **(b)** Straight Line. **(c)** Right angles. **(d)** Line.

**3. Where did Hippocrates come from?**
**(a)** Chios. **(b)** Constinople. **(c)** Athens. **(d)** Rome.

**4. 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 right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(c)** For any triangle the sqaured sum of the legs is equal to half the hypotenuse. **(d)** For any triangle the sum of the legs squared is equal to the length of the hypotenuse.

**5. Which of the following is true in modern math about twin primes?**
**(a)** They are infinite. **(b)** They are not considered whole numbers. **(c)** Their sum is always another prime number. **(d)** We don't know if they are finite or infinite.

## Short Answer Questions

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

**2.** In Elements, how many postulates must be accepted as given?

**3.** What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

**4.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

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

This section contains 317 words(approx. 2 pages at 300 words per page) |