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Geometry: acute, obtuse, and right angles, Perimeter, Polygons, the Pythagorean Theorem, circumference, Arcs, the Compass and straightedge, Golden Rectangles and golden ratio, Trisecting an angle and squaring a circle, Coordinate Geometry, Analytic geometry, Cartesian/ rectangular/orthogonal coordinate system, axes, origins, and quadrants, slope, distance formula, midpoint formula, proofs using analytic geometry, Geometry in Dimensions, Hypothesis and conclusion, Inductive and deductive reasoning, Non-Euclidean Geometry, Collinear points, Theorems, propositions, lemmas, and corollaries, Quadrilaterals, the midsegment of a triangle, Euler's theorem, Symbolic Logic, Contrapositives, Isosceles triangle theorem, SSS, SAS, ASA postulates, and more.