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

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

**3. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The concept of constructing useful mathematics. **(b)** The ability to find square roots. **(c)** The ability to measure angles. **(d)** The concept of providing a logical proof.

**4. What was Hippocrates's great advance to mathematics?**
**(a)** He showed how to simplify the area of a triangle. **(b)** He showed how to find the angles in a right triangle. **(c)** He showed how to square a figure with curved sides. **(d)** He showed how to square a circle.

**5. What was true about Hippocrates's proof?**
**(a)** It was useful for circles. **(b)** The proof was exceedingly difficult and not understood at the time. **(c)** It was fairly easy and simple. **(d)** The proof was easy if their was advanced technology available.

## Short Answer Questions

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

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

**3.** Where did Hippocrates come from?

**4.** Which of Euclid's postulates troubled many of the following generations of mathematicians?

**5.** Which words best describe how solid proofs were developed in Elements?

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