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

**2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Triangles. **(b)** Manifolds. **(c)** Regular polyhedrons. **(d)** Spheres and cones.

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

**4. Which city was the center of thinking and learning in Third century BC?**
**(a)** Rome. **(b)** Alexandria. **(c)** Athens. **(d)** Olympia.

**5. Which is a geometric concept that humans have been aware of since the dawn of agriculture?**
**(a)** Gravity. **(b)** Area. **(c)** Metric system. **(d)** Volume.

## Short Answer Questions

**1.** As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

**2.** What provided most of the content in the book Elements?

**3.** What did Dunham consider extraordinary about the Elements?

**4.** Which of the following is true about pi, as described by Dunham.

**5.** Who was Heron?

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