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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. What provided most of the content in the book Elements?**
**(a)** Notions. **(b)** Propositions. **(c)** Postulates. **(d)** Hypotheses.

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

**3. How do we know about Hippocrates proofs and theorems?**
**(a)** What we know is from references of later mathematicians. **(b)** His books and publications. **(c)** Mathematicians rewrote all of his proofs after his death, **(d)** What is known from archived documents of his time.

**4. 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 an arc with any three points. **(c)** It is possible to connect any two points with a line and make a circle. **(d)** It is possible to draw a straight line between an infinite number of points.

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

## Short Answer Questions

**1.** What was true about Hippocrates's proof?

**2.** What did Dunham consider extraordinary about the Elements?

**3.** What instruments did the Greeks use to square a shape?

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

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

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