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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 the Pythagorean Theorem accomplish for mathematics?**
**(a)** The concept of providing a logical proof. **(b)** The ability to measure angles. **(c)** The concept of constructing useful mathematics. **(d)** The ability to find square roots.

**2. What did Hippocrates do that advanced mathematical methods?**
**(a)** He created a new ways to disprove theories. **(b)** He proved that mathematics can be applied in a unlogical order. **(c)** He built theorems based on sequencially more complex proofs. **(d)** He demonstrated that geometry does not have to be based on previous knowledge.

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

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

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

## Short Answer Questions

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

**2.** Which is one of the common notions presented in Elements?

**3.** Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

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

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

This section contains 424 words(approx. 2 pages at 300 words per page) |