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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 was the bases of Hippocrates's proof ?**
**(a)** Properties of triangles and semicircles. **(b)** Properties of squares and cubes. **(c)** Properties of points and lines. **(d)** Properties of area to volume measurements.

**2. Which words best describe how solid proofs were developed in Elements?**
**(a)** Programmed order. **(b)** Axiomatic framework. **(c)** Simple arguments. **(d)** Inverted scaffold.

**3. What did Dunham consider extraordinary about the Elements?**
**(a)** The content was totally unique. **(b)** How Hippocrates ordered the book. **(c)** How geometric proofs were presented. **(d)** The content was not based on previous authors' work.

**4. "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.

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

## Short Answer Questions

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

**2.** How many definitions were stated in Elements?

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

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

**5.** What did Hippocrates do that advanced mathematical methods?

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