1) What is the study of shapes and spaces called? a) Algebra b) Geometry c) Trigonometry d) Calculus 2) What's the main idea behind fractals? a) Straight lines b) Repeating patterns c) Right angles d) Circles 3) How many points are needed to define a line in projective geometry? a) 0 b) 1 c) 2 d) 3 4) Which of these is NOT a common geometric transformation? a) Stretching b) Shrinking c) Flipping d) Adding 5) What is the main idea behind fractal geometry? a) Symmetry b) Self-similarity c) Parallel lines d) Right angles 6) Who is known for the Poincaré conjecture, a famous problem in geometry? a) Pascal b) Poincaré c) Gauss d) Descartes 7) What is the maximum number of degrees in a triangle? a) 90 degrees b) 120 degrees c) 180 degrees d) 360 degrees 8) Which type of geometry deals with curved surfaces? a) Flat Geometry b) Round Geometry c) Spherical Geometry d) Square Geometry 9) In geometry, what is a geodesic? a) A straight line b) A curved line c) A triangle d) A circle 10) Who made contributions to algebraic geometry and is known for the Weil conjectures? a) André Weil b) John Nash c) Galois d) Laplace

Modern Geometry

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