A) 180° B) 90° C) 360° D) 270°
A) Exactly 360° B) Equal to 180° C) Greater than 360° D) Less than 360°
A) Greater than 360° B) Equal to 180° C) Exactly 360° D) Less than 360°
A) Hyperbolic curvature B) Spherical projection C) Manhattan metric D) Euclidean distance
A) Horizontal and vertical moves B) Point-to-point straight lines C) Curved paths D) Diagonal movement
A) Pythagorean theorem B) Exterior angle theorem C) Euclidean postulate D) Gauss-Bonnet theorem
A) Because the sum is always fixed at 180° B) Because Taxicab triangles are always Euclidean C) Because the triangles have four sides D) Because angle measurement depends on the chosen metric
A) Marine biology B) Astronomy C) Classical painting D) Urban planning
A) The midpoint of each side B) Three points at the vertices C) The entire area of the triangle D) The center of the triangle
A) 180° B) 45° C) 90° D) 0°
A) The sum of angles minus 90° B) 180° minus the sum of angles C) The sum of angles plus 180° D) The area divided by 180°
A) Johann Heinrich Lambert B) Playfair C) Euclid D) Proclus
A) The angles tend to 180° B) The angles tend to 0° C) The angles tend to 90° D) The angles become undefined
A) It tends to 0° B) It remains unchanged at less than 180° C) It tends to infinity D) It recovers the Euclidean sum of 180°
A) The number of sides B) Constant negative curvature C) Constant positive curvature D) The sum of angles
A) Two B) Four C) One D) Three
A) 2π radians B) π/2 radians C) 3π/2 radians D) π radians
A) Parallel postulate B) Angular defect C) Spherical excess D) Geometric identity
A) Parallel postulate B) Euler's identity C) Pythagoras' theorem D) Lexell's theorem
A) Angular defect B) Curvature constant C) Spherical excess D) Euclidean limit
A) 360 degrees B) 720 degrees C) 540 degrees D) 180 degrees
A) π B) E C) r D) κ
A) A straight line B) A square C) A triangle D) A circle
A) Playfair's axiom B) Equidistance postulate C) Proclus' axiom D) Triangle postulate
A) r = 1/κ B) r = κ C) r = 1/κ2 D) r = κ2 |