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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. That properties of specific shapes were early Egyptians aware of?**
**(a)** Right triangles. **(b)** Parallelograms. **(c)** Irregular solids. **(d)** Pi and the diameter of a circle.

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

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

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

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

## Short Answer Questions

**1.** Which of the following becomes an important definition in mathematics that was first presented in Elements?

**2.** How did Lindeman prove his conclusion?

**3.** Who was the author of the book Elements?

**4.** What was Hippocrates's great advance to mathematics?

**5.** What was Hippocrates famous for?

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