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

**2. In Elements, how many postulates must be accepted as given?**
**(a)** Twelve, **(b)** Twenty-two. **(c)** Five. **(d)** Eighteen.

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

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

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

## Short Answer Questions

**1.** What was the bases of Hippocrates's proof ?

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

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

**4.** What was Hippocrates's great advance to mathematics?

**5.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

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