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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

Multiple Choice Questions

1. How many definitions were stated in Elements?
(a) Thirty.
(b) Five.
(c) Eighteen.
(d) Twenty-three.

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

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

4. What did Euclid do in his 48th proposition?
(a) Euclid proved the Pythagorean Theorem.
(b) Euclid demonstrated how to use the Pythagorean Theorem.
(c) Euclid demonstrated the faults of the Pythagorean Theorem.
(d) Euclid proved the converse of the Pythagorean Theorem.

5. What did Ferdinand Lindeman prove in 1882?
(a) It is impossible to find the square of a semicircle.
(b) That the square of a circle can not be found with a compass and a straight-edge.
(c) That the square root of the hypotenuse of a right triangle can not be found.
(d) It is possible to find the square of a circle.

Short Answer Questions

1. That properties of specific shapes were early Egyptians aware of?

2. Who was the first of ancient philosophers to consider why geometric properties existed?

3. Where did Hippocrates come from?

4. What were the proofs in Elements based on?

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

(see the answer key)

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