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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 Hippocrates famous for?**
**(a)** His proof on right triangles. **(b)** His ability to construct circles without a compass. **(c)** His proof defining gravity. **(d)** His theorem on the quadrature of the lune.

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

**3. That properties of specific shapes were early Egyptians aware of?**
**(a)** Parallelograms. **(b)** Irregular solids. **(c)** Pi and the diameter of a circle. **(d)** Right triangles.

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

**5. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's postulate on right triangles. **(b)** Euclid's proof on right triangles. **(c)** Euclid's postulate on creating an arc. **(d)** Euclid's postulate on parallel lines.

## Short Answer Questions

**1.** Who was the first of ancient philosophers to consider why geometric properties existed?

**2.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**3.** What did Gauss set out to prove?

**4.** Which of the following was NOT one of the basic definitions in Elements?

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

This section contains 338 words(approx. 2 pages at 300 words per page) |