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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. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Parabola. **(b)** Right angles. **(c)** Straight Line. **(d)** Line.

**2. Which of the following becomes an important definition in mathematics that was first presented in Elements?**
**(a)** Parallel line. **(b)** Intersection. **(c)** 180 degree angle. **(d)** Circle.

**3. How did Lindeman prove his conclusion?**
**(a)** Lindeman proved that all numbers are constructable with a compass and ruler. **(b)** Lindeman proved that square roots are irrational numbers. **(c)** Lindeman proved that some numbers are constructable without the use of a compass. **(d)** Lindeman proved that some numbers are not constructable with only a compass and straight-edge.

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

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

## Short Answer Questions

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

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

**3.** What was Hippocrates famous for?

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

**5.** What was the bases of Hippocrates's proof ?

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