*BookRags*. (c)2018 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 Gauss' discoveries?**
**(a)** "Non-euclidean" geometry. **(b)** That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees. **(c)** That under Euclid's definition parallel lines can intersect. **(d)** That angles in a triangles can not add up to more than 180 degrees.

**2. What instruments did the Greeks use to square a shape?**
**(a)** A sphere and ruler. **(b)** A pendulum. **(c)** A small grid. **(d)** A compass and a ruled straight-edge.

**3. According to Euclid, when is a triangle a right triangle?**
**(a)** When a triangle can be constructed with three unequal sides. **(b)** When a triangle does not have a side which can be considered a hypotenuse. **(c)** When a triangle has three sides whose squares are equal to the area of the triangle. **(d)** When a triangle has a side whose square is the sum of the squares of the two legs.

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

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

## Short Answer Questions

**1.** Heron devised which of the following methods?

**2.** What range of values did Archimedes determine for pi?

**3.** When was the work of these early thinkers rediscovered again in history?

**4.** In general, what did Euclid's number theory describe?

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

This section contains 339 words(approx. 2 pages at 300 words per page) |