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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. Which of the following is an example of a postulate that must be accepted in Elements?**
**(a)** It is possible to draw an arc with any three points. **(b)** It is possible to draw a straight line between an infinite number of points. **(c)** It is possible to draw a circle that contains no lines. **(d)** It is possible to connect any two points with a line and make a circle.

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

**3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Circle. **(b)** 180 degree angle. **(c)** Parallel lines. **(d)** Intersection.

**4. Who was the author of the book Elements?**
**(a)** Hippocrates. **(b)** Euclid. **(c)** Lindemann. **(d)** Einstein.

**5. According to Euclid, when is a triangle a right triangle?**
**(a)** When a triangle has a side whose square is the sum of the squares of the two legs. **(b)** When a triangle can be constructed with three unequal sides. **(c)** When a triangle has three sides whose squares are equal to the area of the triangle. **(d)** When a triangle does not have a side which can be considered a hypotenuse.

## Short Answer Questions

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

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

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

**4.** How did Lindeman prove his conclusion?

**5.** Which words best describe how solid proofs were developed in Elements?

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