1. How did Lindeman prove his conclusion?
(a) Lindeman proved that square roots are irrational numbers.
(b) Lindeman proved that some numbers are constructable without the use of a compass.
(c) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.
(d) Lindeman proved that all numbers are constructable with a compass and ruler.

2. According to Euclid, when is a triangle a right triangle?
(a) When a triangle does not have a side which can be considered a hypotenuse.
(b) When a triangle has a side whose square is the sum of the squares of the two legs.
(c) When a triangle has three sides whose squares are equal to the area of the triangle.
(d) When a triangle can be constructed with three unequal sides.

3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(b) Euclid used his own axioms and propositions to show relationships,
(c) Euclid used propositions about similar angles and parallel lines.
(d) Euclid constructed squares on the sides of right triangles.

4. Which of the following was NOT one of Gauss' discoveries?
(a) "Non-euclidean" geometry.
(b) That angles in a triangles can not add up to more than 180 degrees.
(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. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?
(a) Square root.
(b) Cubation.
(c) Triangulation.
(d) Quadrature.