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

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

**3. 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.

**4. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?**
**(a)** Euclid used his own axioms and propositions to show relationships, **(b)** Euclid constructed squares on the sides of right triangles. **(c)** Euclid used propositions about similar angles and parallel lines. **(d)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

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

## Short Answer Questions

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

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

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

**4.** Which of the following is an example of a postulate that must be accepted in Elements?

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

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