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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. Which is one of the common notions presented in Elements?**
**(a)** "Things with are equal have an inverse that is equal." **(b)** "The inverse of a line makes a circle." **(c)** "Points with equal values can be connected with a line of equal value." **(d)** "Things which are equal to the same thing are also equal to each other."

**2. When was the work of these early thinkers rediscovered again in history?**
**(a)** In the Renaissance. **(b)** In the 20th century. **(c)** In the Elizabethian age. **(d)** In the 18th century.

**3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?**
**(a)** Euclid constructed squares on the sides of right triangles. **(b)** Euclid used propositions about similar angles and parallel lines. **(c)** Euclid used his own axioms and propositions to show relationships, **(d)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

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

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

## Short Answer Questions

**1.** How many sides did the pentadecagon have, as presented by Euclid?

**2.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

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

**4.** Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

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

This section contains 328 words(approx. 2 pages at 300 words per page) |