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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) Pi and the diameter of a circle.
(b) Right triangles.
(c) Irregular solids.
(d) Parallelograms.

2. 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 an arc with any three points.
(d) It is possible to draw a circle that contains no lines.

3. What did Gauss set out to prove?
(a) That the sum of the angles in a triangle is 180 degrees.
(b) That a right angle is always equal to 90 degrees.
(c) That Euclid's postulate on straight lines was incorrect.
(d) That a circle can have less than 360 degrees.

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

5. What did the Pythagorean Theorem accomplish for mathematics?
(a) The concept of constructing useful mathematics.
(b) The ability to measure angles.
(c) The concept of providing a logical proof.
(d) The ability to find square roots.

Short Answer Questions

1. What was true about Hippocrates's proof?

2. Who was the author of the book Elements?

3. How did Lindeman prove his conclusion?

4. Which is one of the common notions presented in Elements?

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

(see the answer key)

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