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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 Euclid do in his 48th proposition?**
**(a)** Euclid demonstrated the faults of the Pythagorean Theorem. **(b)** Euclid proved the converse of the Pythagorean Theorem. **(c)** Euclid proved the Pythagorean Theorem. **(d)** Euclid demonstrated how to use the Pythagorean Theorem.

**2. What instruments did the Greeks use to square a shape?**
**(a)** A pendulum. **(b)** A compass and a ruled straight-edge. **(c)** A small grid. **(d)** A sphere and ruler.

**3. What does the Pythagorean Theorem state?**
**(a)** For any triangle the sqaured sum of the legs is equal to half the hypotenuse. **(b)** For any right triangle the diagonal side is equal to the sum of the legs. **(c)** For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs. **(d)** For any triangle the sum of the legs squared is equal to the length of the hypotenuse.

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

## Short Answer Questions

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

**2.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

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

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

**5.** What were the proofs in Elements based on?

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