Nature Of Math Final

Front 1

Non-Euclidean geometries were first developed shortly after the year
a. 300 BC
b. 150 AD
c. 1200 AD
d. 1500 AD
e. 1800 AD

Back 1

e. 1800 AD

Front 2

To obtain non-euclidean geometries, changes are made in Euclid's axiom concerning _____

Back 2

parallel lines

Front 3

In relation to the real world in which we live, the idea of non-Euclidean geometry:
a. is interesting but not useful
b. was always regarded as nonsense.
c. was used by Einstein in relativity theory
d. implies relativism in ethics.
e. none of the above

Back 3

c. was used by einstein in relativity theory

Front 4

In the non-Euclidean geometry in which the parallel axiom states that two parallel lines go through the point not on a given line, the sum of the angles of a triangle is
a. equal to 180˚
b. less than 180˚
c. greater than 180˚
d. equal to 270˚
e. none of the above

Back 4

b. less than 180˚

Front 5

The statement "If two triangles are similar, then they are congruent" is
a. true in non-euclidean geometries
b. true in euclidean geometry
c. true in all euclidean and non-euclidean geometries.
d. true in no geometry
e. logical nonsense

Back 5

a. true in non-euclidean geometries

Front 6

Zeno's paradox concerned
a. movement subdivided into stages or parts.
b. the motion of planets.
c. the trinity.
d. rational numbers that are not-terminating non-repeating decimals.
e. none of the above.

Back 6

a. movement subdivided into stages or parts

Front 7

The idea of a formal treatment of infinite sets in mathematics was first developed around ___ by Cantor

Back 7

1900 AD

Front 8

U

Back 8

all of the numbers

Front 9

upside down U

Back 9

just the same numbers