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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

**1. What provided most of the content in the book Elements?**
**(a)** Hypotheses. **(b)** Propositions. **(c)** Postulates. **(d)** Notions.

**2. Which of the following best describes Archimedes as discussed by Dunham?**
**(a)** Mild-mannered researcher. **(b)** Loud and arrogant. **(c)** Absent-minded genius. **(d)** Creative but stubborn.

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

**4. Heron devised which of the following methods?**
**(a)** A way to determine the area of a triangle. **(b)** A way to solve binomial equations. **(c)** A way to apply mathematics to public health. **(d)** A way to determine the volume in a sphere.

**5. Which of the following was NOT one of Gauss' discoveries?**
**(a)** That angles in a triangles can not add up to more than 180 degrees. **(b)** "Non-euclidean" geometry. **(c)** That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees. **(d)** That under Euclid's definition parallel lines can intersect.

## Short Answer Questions

**1.** Which of the following is an example of a postulate that must be accepted in Elements?

**2.** What did Apollonius work with in mathematics?

**3.** What was Euclid's definition of a prime number?

**4.** Which of Euclid's postulates troubled many of the following generations of mathematicians?

**5.** Which of the following was NOT defined by Euclid?

This section contains 388 words(approx. 2 pages at 300 words per page) |