Quadrilaterals: Theorems and Problems
5
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Proposed Problem 312.
Cyclic quadrilateral, Side extensions, Tangents. |
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Proposed Problem 280.
Quadrilateral, Perpendiculars, Area of Squares. |
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Proposed Problem 273.
Triangle, Perpendiculars, Area of Squares. |
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Proposed Problem 252.
Parallelogram, sides, diagonals, squares, areas.
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Proposed Problem 251.
Parallelogram, sides, diagonals, squares, areas.
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Proposed Problem 250.
Quadrilateral, sides, diagonals, midpoints, squares.
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Proposed Problem 245. Parallelogram with Equilateral triangles
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Proposed Problem 244. Square, Diagonals, Centers, Distance.
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Proposed Problem 243. Triangle with Equilateral triangles,
Parallelogram.
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Proposed Problem 242. Triangle with Equilateral triangles,
Parallelogram.
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Proposed Problem 240. Triangle with Equilateral triangles,
Parallelogram.
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Proposed Problem 239. Square, Midpoints, Lines, Congruence,
Pythagoras.
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Proposed Problem 238. Square, Midpoints, Lines, Congruence.
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Proposed Problem 237. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
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Proposed Problem 236. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
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Proposed Problem 235. Parallelogram, Transversal line, Perpendicular
lines.
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Proposed Problem 234. Parallelogram, Line through a vertex,
Perpendicular lines.
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Proposed Problem 233. Parallelogram, Exterior line, Perpendicular
lines.
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Proposed Problem 232. Parallelogram, Line through a vertex,
Perpendicular lines.
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Proposed Problem 230. Triangle, Midpoints, Transversal,
Perpendicular lines.
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Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular
lines. |
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Proposed Problem 228. Triangle, Midpoints, Exterior line,
Perpendiculars lines.
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Proposed Problem 227. Triangle, Centroid, Exterior line,
Perpendicular lines. |
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Proposed Problem 226. Triangle, Centroid, Perpendiculars. |
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Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon,
Apothem, Distance. |
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Proposed Problem 219. Rhombus, perpendiculars, arithmetic mean.
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Proposed Problem 216. Quadrilateral, Angle Bisectors, and
Concurrency.
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Proposed Problem 215.
Quadrilateral, Angle Bisectors, and Cyclic
Quadrilateral.
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Proposed Problem 214.
Quadrilateral and Angle Bisectors.
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Classical Theorems.
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Archimedes Arbelos and Square 2.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
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Archimedes Arbelos and Square 1.
Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation. |
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Proposed Problem 198. Triangle, Quadrilateral, Angles.
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Proposed Problem 191. Triangle,
Altitudes, Orthocenter, Squares, Areas.
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Proposed Problem
189. Squares, Distances. |
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Proposed Problem 188. Square,
Diagonal, 45 Degrees Angle. |
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Proposed Problem 185. Trapezoid,
Triangles and Angles. |
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Proposed Problem 184. Triangle
and Angles. |
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Proposed Problem 181. Circular
Sector of 90 degrees, find an angle. |
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Proposed Problem 179. Rhombus,
Square, Diagonal, Angle. |
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Proposed Problem 178.
Quadrilateral, Trisection of sides, Area.
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Proposed Problem 177.
Parallelogram with Midpoints, Triangles, Areas. |
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Proposed Problem 176.
Quadrilateral with Midpoints, Triangles, Areas.
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Proposed Problem 175.
Quadrilateral with Midpoints, Areas.
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Proposed Problem 174.
Quadrilateral with Midpoints, Triangles, Areas.
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Proposed Problem 173.
Quadrilateral with Midpoints, Triangles, Areas.
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Proposed Problem 172. Trapezoid,
Midpoints, Quadrilaterals, Areas.
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Proposed Problem 171. Trapezoid,
Midpoints, Triangles, Areas.
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