*BookRags*. (c)2017 BookRags, Inc. All rights reserved.

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. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?**
**(a)** Euclid used his own axioms and propositions to show relationships, **(b)** Euclid used propositions about similar angles and parallel lines. **(c)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs. **(d)** Euclid constructed squares on the sides of right triangles.

**2. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's postulate on right triangles. **(b)** Euclid's postulate on parallel lines. **(c)** Euclid's proof on right triangles. **(d)** Euclid's postulate on creating an arc.

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

**4. What range of values did Archimedes determine for pi?**
**(a)** Between 3 10/11 and 3 1/7. **(b)** Between 3 and 3 1/2. **(c)** Between 3 1/2 and 3 5/8. **(d)** Between 3 and 4.

**5. Who was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Pythagoras. **(b)** Hippocrates. **(c)** Thales. **(d)** Aristotle.

## Short Answer Questions

**1.** What did Heron's advances put into historical perspective for Dunham?

**2.** How did Archimedes demonstrate his theory of pi?

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

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

**5.** What was known about pi, during Archimedes' time?

This section contains 396 words(approx. 2 pages at 300 words per page) |