View a FREE sample

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 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.

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

3. What did Dunham consider extraordinary about the Elements?
(a) How Hippocrates ordered the book.
(b) The content was not based on previous authors' work.
(c) How geometric proofs were presented.
(d) The content was totally unique.

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

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

Short Answer Questions

1. How do we know about Hippocrates proofs and theorems?

2. Where did Hippocrates come from?

3. After Hippocrates, what shape did the Greeks attempt to square without success?

4. What did the Pythagorean Theorem accomplish for mathematics?

5. What was the bases of Hippocrates's proof ?

(see the answer key)

This section contains 320 words (approx. 2 pages at 300 words per page) View a FREE sample