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

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

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

**4. What did Ferdinand Lindeman prove in 1882?**
**(a)** That the square of a circle can not be found with a compass and a straight-edge. **(b)** It is possible to find the square of a circle. **(c)** That the square root of the hypotenuse of a right triangle can not be found. **(d)** It is impossible to find the square of a semicircle.

**5. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Quadrature. **(b)** Cubation. **(c)** Square root. **(d)** Triangulation.

## Short Answer Questions

**1.** Which of the following was NOT one of Gauss' discoveries?

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

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

**4.** What does the Pythagorean Theorem state?

**5.** According to Euclid, when is a triangle a right triangle?

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