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

## Multiple Choice Questions

**1. Which of the following is an example of a postulate that must be accepted in Elements?**
**(a)** It is possible to draw a circle that contains no lines. **(b)** It is possible to draw a straight line between an infinite number of points. **(c)** It is possible to draw an arc with any three points. **(d)** It is possible to connect any two points with a line and make a circle.

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

**3. 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 stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs. **(c)** Euclid used propositions about similar angles and parallel lines. **(d)** Euclid constructed squares on the sides of right triangles.

**4. How many definitions were stated in Elements?**
**(a)** Eighteen. **(b)** Thirty. **(c)** Five. **(d)** Twenty-three.

**5. Who was the author of the book Elements?**
**(a)** Einstein. **(b)** Hippocrates. **(c)** Lindemann. **(d)** Euclid.

## Short Answer Questions

**1.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

**2.** What did Ferdinand Lindeman prove in 1882?

**3.** What does the Pythagorean Theorem state?

**4.** After Hippocrates, what shape did the Greeks attempt to square without success?

**5.** Which is one of the common notions presented in Elements?

This section contains 394 words(approx. 2 pages at 300 words per page) |