True/False 11) Archimedes\' axiom is used to measure segments and angles by real

Question

True/False

11) Archimedes' axiom is used to measure segments and angles by real numbers

12) An exterior angle of a traingle is any angle that is not in the interior of the triangle

13)The SSS criterion for congruence of triangles is a theorem in nuetral geometry

14) The alternate interior angle theorem implies as a special case that if a transversal is perpendicular to one of the the two parallel lines, then it is also perpendicular to the other

15) If a Hilbert plane satisfies Aristotle's axiom then the fourt angle in a Lambert quadrilateral in that plane cannot be obtuse

Explanation / Answer

11) Archimedes' axiom is used to measure segments and angles by real numbers is false

12) An exterior angle of a traingle is any angle that is not in the interior of the triangle is true

13) The SSS criterion for congruence of triangles is a theorem in nuetral geometry is true

14) The alternate interior angle theorem implies as a special case that if a transversal is perpendicular to one of the the two parallel lines, then it is also perpendicular to the other is true

15) If a Hilbert plane satisfies Aristotle's axiom then the fourt angle in a Lambert quadrilateral in that plane cannot be obtuse is false

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