*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

## Multiple Choice Questions

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

**2. What was Hippocrates famous for?**
**(a)** His theorem on the quadrature of the lune. **(b)** His ability to construct circles without a compass. **(c)** His proof defining gravity. **(d)** His proof on right triangles.

**3. Which is a geometric concept that humans have been aware of since the dawn of agriculture?**
**(a)** Volume. **(b)** Gravity. **(c)** Area. **(d)** Metric system.

**4. Which is one of the common notions presented in Elements?**
**(a)** "Things with are equal have an inverse that is equal." **(b)** "Points with equal values can be connected with a line of equal value." **(c)** "Things which are equal to the same thing are also equal to each other." **(d)** "The inverse of a line makes a circle."

**5. Which words best describe how solid proofs were developed in Elements?**
**(a)** Simple arguments. **(b)** Inverted scaffold. **(c)** Programmed order. **(d)** Axiomatic framework.

## Short Answer Questions

**1.** That properties of specific shapes were early Egyptians aware of?

**2.** What did the Pythagorean Theorem accomplish for mathematics?

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

**4.** Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

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

This section contains 380 words(approx. 2 pages at 300 words per page) |