Geometry Problems: High School, College

Geometry Problems 201-300

 

Geometry Problems 201-300

Online education degree: Open geometry problems

Open Geometry Problems - Index

Elearn 201

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

Problem 202 Right triangle, excircles

Geometry Problem 202.
Right Triangle, Incircle, Excircles relatives to catheti, Points of Tangency, Exradius, Semiperimeter.

Problem 203

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

Elearn 204

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

Right triangle area

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

Elearn 206

Geometry Problem 206.
Area of a Right Triangle, Inradius, and Exradius relative to the hypotenuse.

Problem 207: Hypotenuse

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

Elearn 208: Triangle, Angles

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

Elearn 209

Geometry Problem 209.
Triangle, Incircles, Inradius.

Elearn 210

Geometry Problem 210.
Triangle, Angles, Auxiliary Lines.

Elearn 211: 60 degree triangle, area

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

Elearn 212: 120 degree triangle, area

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

Elearn 213 Triangle Inradius, Common Tangents

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

Elearn 214

Geometry Problem 214. Quadrilateral and Angle Bisectors.

Elearn 215: Cyclic quadrilateral

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

Elearn: Quadrilateral, Angle Bisectors, Concurrency

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

Elearn 217: Right triangle, Altitude, Projections

Geometry Problem 217. Right triangle, Altitude and Projections.

Elearn 218: Right triangle

Geometry Problem 218. Right triangle, Altitude and Projections.

Rhomus problem

Geometry Problem 219. Rhombus, Perpendiculars, Arithmetic Mean.

Right triangle, inradius, altitude, arithmetic mean

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

Viviani's theorem I

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

Viviani theorem, Equilateral triangle, exterior point

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

Viviani theorem, Isosceles triangle

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

Viviani theorem, isosceles triangle, extension on the base

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

Viviani theorem extension, regular polygon

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

Problem 226: Triangle, Centroid

Geometry Problem 226. Triangle, Centroid, Perpendicular lines.

Elearn 227: Triangle, Centroid

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

Elearn 228: Triangle, Midpoint

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

Elearn 229: Triangle, Centroid, Transversal

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

Elearn 230: Triangle, Midpoint, Transversal

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

Elearn 231: Triangle, Midpoint

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

Elearn 232: Parallelogram, perpendicular lines

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

Elearn 232: Parallelogram

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

Problem 233: Parallelogram

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

Problem about Parallelogram and transversal

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

Quadrilateral, midpoints

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

Quadrilateral, midpoints

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

Square. Midpoint, Congruence

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

Square, Midpoint, Congruence, Pythagoras

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

Triangle with equilateral triangles

Geometry Problem 240. Triangle with Equilateral triangles, Parallelogram.

Equilateral triangle, congruence SAS

Geometry Problem 241. Triangle with Equilateral triangles, Congruence.

Elearn 242: Equilateral triangle and parallelogram

Geometry Problem 242. Triangle with Equilateral triangles, Parallelogram.

Elearning 243

Geometry Problem 243. Triangle with Equilateral triangles, Parallelogram.

Elearning 244: Square center, diagonal

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

Elearning 245: Parallelogram

Geometry Problem 245. Parallelogram with Equilateral triangles.

Napoleon Theorem I

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

Napoleon Theorem II

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

Elearning: Napoleon Theorem III

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

Triangle sides, medians, squares

Proposed Problem 249.
Triangle sides, medians, squares.

Quadrilateral, diagonals, midpoints

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

Elearning 251: Parallelogram

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

Rectangle, Isosceles Right Triangle, Square, Area

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

Elearning 253: Triangle, Centroid

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

Elearning 254: Triangle and Centroid

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

Problem 254: Triangle and Centroid

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

Elearning 256: Equilateral triangle

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

Problem 257: Equilateral triangle, circumcircle

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

Elearning 258: Equilateral triangle, Incircle

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

Elearning 259: Equilateral triangle, Incircle

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

Elearning 260: Problem about equilateral triangle

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

Regular pentagon inscribed

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

Regular hexagon inscribed in a circle

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

Problem 263: Triangle, Median Projection

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

Right triangle

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

Pythagorean Theorem

Geometry Problem 265.
Right Triangle, Pythagorean Theorem.

Right triangle, Altitude, Geometric Mean

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

Right triangle, Catheti product

Proposed Problem 267.
Right Triangle, Product of Catheti.

Right triangle, Altitude, Catheti

Geometry Problem 268.
Right Triangle, Catheti and Altitude.

Right triangle, Altitude, perpendiculars

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

Tangent circles, common tangent 

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

Cube of the external common tangent

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

Cube of the external common tangent

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

Problem 273 Triangle and Squares

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

Isoscele triangle 80-80-20

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

Sagitta Problem

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

Square, Circle, 90 Arc

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

Tangent Circles

Geometry Problem 277.
Tangent Circles, Common External Tangent.

Tangent Circles, Common External Tangent, Chord

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

Elearning 279: Tangent circles

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

Quadrilateral, Perpendicular, Squares, Area

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

Triangle, Angles

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

Right triangle, Cevian, Perpendicular, Angles

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

Circular Sector

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

Elearning 284: Circular Sector

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

Circula Sector, Semicircles, Circle

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

Octagon, Square

Geometry Problem 286.
Square, Midpoints, Octagon.

Regular Octagon 

Geometry Problem 287.
Regular Octagon.

Tangent Circles, Harmonic Mean

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

Tangent Circles

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

Tangent Circles, Radius

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

Triangle, Circle, Radius, Perpendicular

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

Triangle, Parallel, Congruence, Similarity

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

Inscribed Quadrilateral

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

Right Triangle Circumcenter, Excenter

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

Archimedes Twin, Harmonic mean

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

Intersecting circles

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

Intersecting circles, Chord, Secant, Radius, Angle, Perpendicular

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

Elearning 298: Intersecting circles

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

Intersecting circles, Chord, Secant, Midpoint

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

Problem: Tangent to a circle

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




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