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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. That properties of specific shapes were early Egyptians aware of?
(a) Right triangles.
(b) Pi and the diameter of a circle.
(c) Parallelograms.
(d) Irregular solids.

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

3. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to draw a straight line between an infinite number of points.
(b) It is possible to connect any two points with a line and make a circle.
(c) It is possible to draw a circle that contains no lines.
(d) It is possible to draw an arc with any three points.

4. What provided most of the content in the book Elements?
(a) Propositions.
(b) Notions.
(c) Postulates.
(d) Hypotheses.

5. How do we know about Hippocrates proofs and theorems?
(a) His books and publications.
(b) Mathematicians rewrote all of his proofs after his death,
(c) What is known from archived documents of his time.
(d) What we know is from references of later mathematicians.

Short Answer Questions

1. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

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

3. What did Hippocrates do that advanced mathematical methods?

4. What did Euclid do in his 48th proposition?

5. How many definitions were stated in Elements?

(see the answer key)

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