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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. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Aristotle.
(b) Hippocrates.
(c) Thales.
(d) Pythagoras.

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 does the Pythagorean Theorem state?
(a) For any right triangle the diagonal side is equal to the sum of the legs.
(b) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(c) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(d) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.

4. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in finding the area of oddly shaped pieces of land.
(b) It was useful in determining the distance between two points.
(c) It was useful in finding the area of circles.
(d) It was useful in creating simple elevation maps,

5. 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.

Short Answer Questions

1. What did Dunham consider extraordinary about the Elements?

2. Which of the following was NOT one of Gauss' discoveries?

3. What did Hippocrates do that advanced mathematical methods?

4. What provided most of the content in the book Elements?

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

(see the answer key)

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