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Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

**1. What did Dunham consider extraordinary about the Elements?**
**(a)** The content was totally unique. **(b)** How geometric proofs were presented. **(c)** The content was not based on previous authors' work. **(d)** How Hippocrates ordered the book.

**2. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?**
**(a)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter. **(b)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference. **(c)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference. **(d)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.

**3. What does the Pythagorean Theorem state?**
**(a)** For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(b)** For any right triangle the diagonal side is equal to the sum of the 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.

**4. What did Dunham discuss for many pages in this chapter?**
**(a)** Heron's complicated proof. **(b)** Heron's religious beliefs- **(c)** Heron's political tendancy. **(d)** Heron's origins of the universe.

**5. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory. **(b)** Whether there are no odd perfect numbers is still not known. **(c)** Euclid's recipe for constructing even perfect numbers is incorrect. **(d)** Euclid gave a good idea for how to construct even perfect numbers.

## Short Answer Questions

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

**2.** In what century did Archimedes live?

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

**4.** What was true about Hippocrates's proof?

**5.** Heron's work referred to the work of what other famous scholar?

This section contains 454 words(approx. 2 pages at 300 words per page) |