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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. Where was the modern number system developed?
(a) In ancient Alexanderia.
(b) In ancient Rome.
(c) In the East.
(d) In the West.

2. What do we know in modern times about Heron?
(a) We know he was an influencial scholar, but we don't know who his students were.
(b) We know very little, but much of his work survives.
(c) We know he lived in Rome.
(d) We know he was a teacher and philosopher but much of his work has been lost.

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 his own axioms and propositions to show relationships,
(c) Euclid used propositions about similar angles and parallel lines.
(d) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

4. What is true about prime numbers?
(a) That for every group of prime numbers, there exists at least one more prime.
(b) Prime numbers can not exist in a finite series.
(c) Prime numbers can never be an odd number.
(d) Prime numbers are not divisible by other numbers.

5. In general, what did Euclid's number theory describe?
(a) The relationship of fractions to decimals.
(b) The nature of measuring geometry.
(c) The nature of whole numbers.
(d) The relationship of decimals to integers.

Short Answer Questions

1. Who acted as the gate keepers of knowledge?

2. In Elements, how many postulates must be accepted as given?

3. What did Plato use his inspiration from Euclid for?

4. What does the Pythagorean Theorem state?

5. Which of the following was NOT one of the basic definitions in Elements?

(see the answer key)

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