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

**2. Which is one of the common notions presented in Elements?**
**(a)** "Points with equal values can be connected with a line of equal value." **(b)** "Things with are equal have an inverse that is equal." **(c)** "The inverse of a line makes a circle." **(d)** "Things which are equal to the same thing are also equal to each other."

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

**4. How do we know about Hippocrates proofs and theorems?**
**(a)** What is known from archived documents of his time. **(b)** What we know is from references of later mathematicians. **(c)** Mathematicians rewrote all of his proofs after his death, **(d)** His books and publications.

**5. What was the bases of Hippocrates's proof ?**
**(a)** Properties of triangles and semicircles. **(b)** Properties of points and lines. **(c)** Properties of squares and cubes. **(d)** Properties of area to volume measurements.

## Short Answer Questions

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

**2.** What was true about Hippocrates's proof?

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

**4.** What does the Pythagorean Theorem state?

**5.** Who was the author of the book Elements?

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