|Name: _________________________||Period: ___________________|
This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.
Multiple Choice Questions
1. What instruments did the Greeks use to square a shape?
(a) A sphere and ruler.
(b) A compass and a ruled straight-edge.
(c) A small grid.
(d) A pendulum.
2. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) Parallel lines.
(d) 180 degree angle.
3. How do we know about Hippocrates proofs and theorems?
(a) What we know is from references of later mathematicians.
(b) What is known from archived documents of his time.
(c) Mathematicians rewrote all of his proofs after his death,
(d) His books and publications.
4. Which of the following was NOT one of Gauss' discoveries?
(a) That angles in a triangles can not add up to more than 180 degrees.
(b) "Non-euclidean" geometry.
(c) That under Euclid's definition parallel lines can intersect.
(d) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
5. Which words best describe how solid proofs were developed in Elements?
(a) Simple arguments.
(b) Inverted scaffold.
(c) Programmed order.
(d) Axiomatic framework.
Short Answer Questions
1. What did Ferdinand Lindeman prove in 1882?
2. How many definitions were stated in Elements?
3. How did Lindeman prove his conclusion?
4. What did Gauss set out to prove?
5. What was most useful about finding the square of a shape, before Hippocrates?
This section contains 380 words
(approx. 2 pages at 300 words per page)