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9 Cards in this Set
- Front
- Back
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 |
e. 1800 AD
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To obtain non-euclidean geometries, changes are made in Euclid's axiom concerning _____
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parallel lines
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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 |
c. was used by einstein in relativity theory
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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 |
b. less than 180˚
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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 |
a. true in non-euclidean geometries
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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. |
a. movement subdivided into stages or parts
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The idea of a formal treatment of infinite sets in mathematics was first developed around ___ by Cantor
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1900 AD
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U
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all of the numbers
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upside down U
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just the same numbers
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