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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 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)** "The inverse of a line makes a circle." **(d)** "Things which are equal to the same thing are also equal to each other."

**2. After Hippocrates, what shape did the Greeks attempt to square without success?**
**(a)** Pentagon. **(b)** Parallelogram. **(c)** Hemisphere. **(d)** Circle.

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

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

**5. What does the Pythagorean Theorem state?**
**(a)** For any triangle the sum of the legs squared is equal to the length of the hypotenuse. **(b)** For any right triangle the diagonal side is equal to the sum of the legs. **(c)** For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(d)** For any triangle the sqaured sum of the legs is equal to half the hypotenuse.

## Short Answer Questions

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

**2.** Who was the first of ancient philosophers to consider why geometric properties existed?

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

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

**5.** What was most useful about finding the square of a shape, before Hippocrates?

This section contains 369 words(approx. 2 pages at 300 words per page) |