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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 did Gauss set out to prove?**
**(a)** That Euclid's postulate on straight lines was incorrect. **(b)** That a right angle is always equal to 90 degrees. **(c)** That a circle can have less than 360 degrees. **(d)** That the sum of the angles in a triangle is 180 degrees.

**2. In Elements, how many postulates must be accepted as given?**
**(a)** Twelve, **(b)** Twenty-two. **(c)** Eighteen. **(d)** Five.

**3. What was most useful about finding the square of a shape, before Hippocrates?**
**(a)** It was useful in creating simple elevation maps, **(b)** It was useful in finding the area of circles. **(c)** It was useful in determining the distance between two points. **(d)** It was useful in finding the area of oddly shaped pieces of land.

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

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

## Short Answer Questions

**1.** How do we know about Hippocrates proofs and theorems?

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

**3.** What did Euclid do in his 48th proposition?

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

**5.** That properties of specific shapes were early Egyptians aware of?

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