Proposed Problems - Table of Content (Page 1 of 6)
NCTM Processes: Problem Solving, Reasoning & Proof, Communications, Connections, and Representation

Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean.

Proposed Problem 312.
Cyclic quadrilateral, Side extensions, Tangents.

Proposed Problem 311.
Circle Inscribed in a Semicircle, Chord, Diameter.

Proposed Problem 310.
Circle Inscribed in a Semicircle, 45 Degrees Angle.

Proposed Problem 309.
Regular Nonagon or Enneagon, Diagonals, Side.

Proposed Problem 308.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle.

Proposed Problem 307.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle.

Proposed Problem 306.
Square, Triangles, Angles, Sides.

Proposed Problem 305.
Square, Triangles, Angles, Sides.

Proposed Problem 304.
Triangle, Angle bisector of 120 degrees.

Proposed Problem 303.
Triangle, Angle bisector of 90 degrees.

Proposed Problem 302.
Triangle, Angle bisector of 60 degrees.

Proposed Problem 301.
Tangents to a circle, Secants, Square.

Proposed Problem 300.
Tangents to a circle, Secants, Square.

Proposed Problem 299.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

Proposed Problem 298.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

Proposed Problem 297.
Intersecting Circles, Chord, Secant, Radius, Angle, Perpendicular.

Proposed Problem 296.
Intersecting Circles, Chord, Radius, Angle, Perpendicular.

Proposed Problem 295.
Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular.

Proposed Problem 294.
Right triangle, Circumcenter, Excenter, Hypotenuse, Perpendicular.

Proposed Problem 293.
Inscribed Quadrilateral, Perpendicular, Rectangle, Isosceles Right triangle, Area, Similarity.

Proposed Problem 292.
Triangle, Parallel, Congruence, Similarity.

Proposed Problem 291.
Triangle, Circle, Circumradius, Perpendicular.

Proposed Problem 290.
Internally Tangent circles, Radius, Perpendicular, Tangent.

Proposed Problem 289.
Externally Tangent circles, Radius, Perpendicular, Tangent.

Proposed Problem 288.
Tangent circles, Harmonic Mean, Radius, Diameter.

Proposed Problem 287.
Regular Octagon.

Proposed Problem 286.
Square, Midpoints, Octagon.

Proposed Problem 285.
Circular Sector 90 degrees, Semicircles, Circle, Tangent, Radius.

Proposed Problem 284.
Circular Sector 90 degrees, Semicircles, Tangent, Radius.

Proposed Problem 283.
Circular Sector 90 degrees, Semicircle, Circle inscribed, Radius.

Proposed Problem 282.
Right Triangle, Cevian, Angles, Perpendicular, Congruence.

Proposed Problem 281.
Triangles, Angles, Isosceles, Equilateral.

Proposed Problem 280.
Quadrilateral, Perpendiculars, Area of Squares.

Proposed Problem 279.
Tangent Circles, Common External Tangent, Chords, Inradius.

Proposed Problem 278.
Tangent Circles, Common External Tangent, Chord.

Proposed Problem 277.
Tangent Circles, Common External Tangent.

Proposed Problem 276.
Square, 90 degree Arcs, Circle, Radius.

Proposed Problem 275.
Right Triangle, Circumcircle, Sagitta, Inradius.

Proposed Problem 274.
Isosceles Triangle, 80-80-20, Angles.

Proposed Problem 273.
Triangle, Perpendiculars, Area of Squares.

Proposed Problem 272.
Tangent Circles, the Cube of the Common external tangent.

Proposed Problem 271.
Tangent Circles, the Cube of the Common external tangent.

Proposed Problem 270.
Tangent Circles, Common external tangent, Fractional exponents.

Proposed Problem 269.
Right Triangle, Altitude, Perpendicular, Projection.

Proposed Problem 268.
Right Triangle, Catheti and Altitude.

Proposed Problem 267.
Right Triangle, Product of Catheti.

Proposed Problem 266.
Right Triangle, Altitude, Geometric Mean.

Proposed Problem 265.
Right Triangle, Pythagorean Theorem.

Proposed Problem 264.
Right Triangle, Altitude, Leg projection, Hypotenuse, Similarity, Geometric mean.

Proposed Problem 263.
Triangle, Median, Altitude, Orthogonal Projection, Sides.

Proposed Problem 262.
Regular Hexagon inscribed in a circle, sum of distances.

Proposed Problem 261.
Regular Pentagon inscribed in a circle, sum of distances.

Proposed Problem 260.
Equilateral Triangle, Incircle, Tangency Points, Vertices, Distances, Squares.

Proposed Problem 259.
Equilateral Triangle, Incircle, Tangency Points, Side, Distances, Squares.

Proposed Problem 258.
Equilateral Triangle, Circumcircle, Point, Vertices, Side, Distances, Squares.

Proposed Problem 257.
Equilateral Triangle, Circumcircle, Point, Vertices, Side, Distances, Squares.

Proposed Problem 256.
Equilateral Triangle, Circumcircle, Point, Vertices, Distances.

Proposed Problem 255.
Triangle, Centroid, Vertices, a Point, Distances, Squares.

Proposed Problem 254.
Triangle, Centroid, Vertices, a Point, Distances, Squares.

Proposed Problem 253.
Triangle, Centroid, Vertices, Distances, Squares.

Proposed Problem 252.
Rectangle, isosceles right triangle, square, area.

Proposed Problem 251.
Parallelogram, sides, diagonals, squares, areas.

Proposed Problem 250.
Quadrilateral, sides, diagonals, midpoints, squares.

Proposed Problem 249.
Triangle sides, medians, squares.

Proposed Problem 248.
Napoleon's Theorem III. Inner and outer Napoleon triangles, Area.

Proposed Problem 247.
Napoleon's Theorem II. Internal Equilateral triangles. Inner Napoleon triangle.

Proposed Problem 246.
Napoleon's Theorem I. External Equilateral triangles. Outer Napoleon triangle.

Proposed Problem 245. Parallelogram with Equilateral triangles.

Proposed Problem 244. Square, Diagonals, Centers, Distance.

Proposed Problem 243. Triangle with Equilateral triangles, Parallelogram.

Proposed Problem 242. Triangle with Equilateral triangles, Parallelogram.

Proposed Problem 241. Triangle with Equilateral triangles, Congruence.

Proposed Problem 240. Triangle with Equilateral triangles, Parallelogram.

Proposed Problem 239. Square, Midpoints, Lines, Congruence, Pythagoras.

Proposed Problem 238. Square, Midpoints, Lines, Congruence.

Proposed Problem 237. Quadrilateral, Midpoints, Exterior line, Perpendicular lines.

Proposed Problem 236. Quadrilateral, Midpoints, Exterior line, Perpendicular lines.

Proposed Problem 235. Parallelogram, Transversal line, Perpendicular lines.

Proposed Problem 234. Parallelogram, Line through a vertex, Perpendicular lines.

Proposed Problem 233. Parallelogram, Exterior line, Perpendicular lines.

Proposed Problem 232. Parallelogram, Line through a vertex, Perpendicular lines.

Proposed Problem 231. Triangle, Midpoints, Transversal, Perpendicular lines.

Proposed Problem 230. Triangle, Midpoints, Transversal, Perpendicular lines.

Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular lines.

Proposed Problem 228. Triangle, Midpoints, Exterior line, Perpendiculars lines.

Proposed Problem 227. Triangle, Centroid, Exterior line, Perpendicular lines.

Proposed Problem 226. Triangle, Centroid, Perpendicular lines.

Problemas Propuestos de Geometria en Espanol.

Proposed Problem 225. Viviani's Theorem Extension, Regular Polygon, Apothem, Distance.

Proposed Problem 224. Viviani's theorem, Isosceles triangle, Altitude, Distances, Point on the extension of the base.

Proposed Problem 223. Viviani's theorem, Isosceles triangle, Altitude, Distances.

Proposed Problem 222. Viviani's theorem, Equilateral triangle, Exterior point, Altitude, Distances.

Proposed Problem 221. Viviani's theorem, Equilateral triangle, Interior point, Altitude, Distances.

Proposed Problem 220. Right Triangle, Altitude, Angle Bisector, Distance, Arithmetic Mean.

Proposed Problem 219. Rhombus, Perpendiculars, Arithmetic Mean.

Proposed Problem 218. Right triangle, Altitude and Projections.

Proposed Problem 217. Right triangle, Altitude and Projections.

Proposed Problem 216. Quadrilateral, Angle Bisectors, and Concurrency.

Proposed Problem 215. Quadrilateral, Angle Bisectors, and Cyclic Quadrilateral.

Proposed Problem 214. Quadrilateral and Angle Bisectors.

Proposed Problem 213. Triangle, Incircle, Inradius, Semicircles, Common Tangents.

Proposed Problem 212. 120 Degree Triangle, Equilateral triangles, Areas.

Proposed Problem 211. 60 Degree Triangle, Equilateral triangles, Areas.

Proposed Problem 210. Triangle, Angles, Auxiliary Lines.

Proposed Problem 209. Triangle, Incircles, Inradius.

Proposed Problem 208. Triangle, Excircles, Angles, 360 degrees.

Proposed Problem 207. Right Triangle, Hypotenuse, Inradius, Exradius relative to the hypotenuse.

Proposed Problem 206. Area of a Right Triangle, Inradius, andExradius relative to the hypotenuse.

Proposed Problem 205. Right Triangle Area, Exradii relatives to legs or catheti.

Proposed Problem 204. Right Triangle, Incircle, Excircles, Inradius, Exradii.

Proposed Problem 203. Right Triangle, Excircles, Exradii, Hypotenuse.

Proposed Problem 202. Right Triangle, Incirle, Excircles relatives to catheti, Points of Tangency, Exradius, Semiperimeter.

Proposed Problem 201. Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter.

Proposed Problem 200. RightTriangle, Incircle, Excircles, Points of Tangency, Inradius.

Proposed Problem 199. Triangle, Quadrilateral, Angles.

Proposed Problem 198. Triangle, Quadrilateral, Angles.

Proposed Problem 197. Area of a Triangle, Side, Inradius, and Exradius.

Proposed Problem 196. Triangle, Inradius and Exradii Formula.

Proposed Problem 195. Area of a Triangle, Inradius, Exradii.

Proposed Problem 194. Area of a Triangle, Semiperimeter, Exradius.

Proposed Problem 193. Area of a Triangle, Semiperimeter, Inradius.

Proposed Problem 192. Circle, Diameter, Chord, Perpendicular, Triangle, Area.

Proposed Problem 191. Triangle, Altitudes, Orthocenter, Squares, Areas.

Proposed Problem 190. Tangent circles, Tangent chord, Perpendicular, Distance.

Proposed Problem 189. Squares, Distances.

Proposed Problem 188. Square, Diagonal, 45 Degrees Angle.

Proposed Problem 187. Right Triangle, Altitude, Incenters, Circles, Angles.

Proposed Problem 186. Right Triangle, Altitude, Incenters, Circles.

Proposed Problem 185. Trapezoid, Triangles and Angles.

Proposed Problem 184. Triangle and Angles.

Proposed Problem 183. Right Triangle, Hypotenuse Trisection Points, Squares of the Distances.

Proposed Problem 182. Overlapping Circles, Find an angle.

Proposed Problem 181. Circular Sector of 90 degrees, find an angle.