Geometry, Theorems and Problems

Online Geometry Theorems and Problems. College, High School

Geometry - Recent Additions

Euclidean Geometry

 

Problem 1413

Geometry Problem 1413.
Right Triangle, Incircle, Excircle, Tangency Points, Isosceles Right Triangle.

Problem 1412

Geometry Problem 1412.
Right Triangle, Incircle, Excircle, Tangency Points, 45 Degree Angle.

Problem 1411

Geometry Problem 1411.
Right Triangle, Incircle, Excircle, Tangency Points, Isosceles Right Triangle.

Problem 1410

Geometry Problem 1410.
Right Triangle, Incircle, Excircle, Tangency Points, 45 Degree Angle.

Problem 1409

Geometry Problem 1409.
Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity.

Problem 1408

Geometry Problem 1408.
Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity.

Problem 1407

Geometry Problem 1407.
Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity.

Problem 1406

Geometry Problem 1406.
Four Congruent Circles, Measurement, Metric Relations, Sum of the Squares.

Problem 1405

Geometry Problem 1405.
Four Congruent Circles, Congruent Chords.

Problem 1404

Geometry Problem 1404.
Three Circles, Center, Intersecting Points, Collinearity, Congruence.

Problem 1403

Geometry Problem 1403.
Quadrilateral, 90 Degree Angle, Perpendicular, Congruence.

Problem 1402

Geometry Problem 1402.
Triangle, Three Tangent Circles, Parallel Diameter, Collinear Points.

Problem 1401

Geometry Problem 1401.
Right Triangle with three circles on the sides, Isosceles, Diameter, Center, Tangent, Congruence.

Problem 1400

Geometry Problem 1400.
Triangle with three rectangles on the sides, Perpendicular Bisectors, Concurrency.

Problem 1399

Geometry Problem 1399.
Triangle, Circumcircle, Perpendiculars, Angles, Congruence, Cyclic Quadrilateral.

Problem 1398

Geometry Problem 1398.
Isosceles Triangle, Circle, Radius, Perpendicular, Measurement.

Problem 1397

Geometry Problem 1397.
Circle, Diameter, Tangent, Secant, 90 Degrees Angle, Perpendicular, Collinear Points.

Problem 1396

Geometry Problem 1396.
Triangle with three rectangles on the sides, Vertices, Perpendicular lines, Concurrency.

Problem 1395

Geometry Problem 1395.
Triangle with three rectangles on the sides, Midpoints, Perpendicular lines, Concurrency.

Problem 1394

Geometry Problem 1394.
Three Circles and Three Pair of Common Internal Tangents, Concurrency.

Problem 1393

Geometry Problem 1393.
Monge's Circle Theorem, Three Circles and Three Pair of Common Tangents, Collinearity.

Problem 1392

Geometry Problem 1392.
Two Cyclic Quadrilateral, Cyclic Octagon, Circle.

Problem 1391

Geometry Problem 1391.
Two Triangles, Ratio of Areas, Circumcircle.

Problem 1390

Geometry Problem 1390.
Triangle, any point, perpendicular, sum of the squares.

Problem 1389 40-120-20 triangle

Geometry Problem 1389.
Triangle, 40-120-20 degree, Angle, Congruence.

Problem 1388 40-60-80 triangle

Geometry Problem 1388.
Triangle 40-60-80 degree, Incenter, Congruence.

Problem 1387 Quadrilateral, Double Angle, Congruence, Isosceles Triangle

Geometry Problem 1387.
Quadrilateral, Double Angle, Congruence, Isosceles Triangle.

Problem 1386 Thabit ibn Qurra Theorem,Pythagorean Theorem to any triangle

Geometry Problem 1386.
Thabit ibn Qurra (826 -901) Theorem and more conclusions, generalized Pythagorean Theorem to any triangle.

Problem 1385 Circle, Triangle

Geometry Problem 1385.
Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points.

Problem 1384 Circle, Triangle

Geometry Problem 1384.
Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, 90 Degree.

Problem 1383 Circle, Triangle

Geometry Problem 1383.
Triangle, Median, Circle, Chord, Secant, Sum, Product.

Problem 1382 Circle, Diameter, Radius, Perpendicular, Congruence

Geometry Problem 1382.
Circle, Diameter, Radius, Perpendicular, Congruence.

Problem 1381 Parallelogram, Triangle, Area

Geometry Problem 1381.
Parallelogram, Exterior Point, Triangle, Area.

Problem 1380 Circles, Tangents, Chords

Geometry Problem 1380.
Common Internal Tangents. Circles, Secant, Congruent Chords.

Problem 1379 Circles, Tangents, Chords

Geometry Problem 1379.
Common External Tangents. Circles, Secant, Congruent Chords.

Problem 1378 Parallelogram

Geometry Problem 1378.
Parallelogram, Diagonal perpendicular to a side, Distances from a Point to Vertices, Measurement.

Problem 1377 Isosceles Triangle, Circle

Geometry Problem 1377.
Isosceles Triangle, Interior Cevian, Equal Sum of Exradii, Excircle.

Problem 1376 Isosceles Triangle, Circle

Geometry Problem 1376.
Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines.

Problem 1375 Isosceles Triangle, Circle

Geometry Problem 1375.
Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base.

Problem 1374 Isosceles Triangle, Circle

Geometry Problem 1374.
Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines.

Problem 1373 Isosceles Triangle, Altitude

Geometry Problem 1373.
Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base.

Problem 1372 Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude

Geometry Problem 1372.
Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude, Sketch, iPad Apps.

Equilic Quadrilateral, problem 1371

Geometry Problem 1371: Equilic Quadrilateral 5.

Equilic Quadrilateral, problem 1370

Geometry Problem 1370: Equilic Quadrilateral 4

Equilic Quadrilateral, problem 1369

Geometry Problem 1369: Equilic Quadrilateral 3

Equilic Quadrilateral, problem 1368

Geometry Problem 1368: Equilic Quadrilateral 2

Equilic Quadrilateral, problem 1367

Geometry Problem 1367: Equilic Quadrilateral 1

Geometry problem 1366

Geometry Problem 1366.
Square, Angle Bisector, Perpendicular, Concyclic Points, Circle, Sketch, iPad Apps.

Geometry problem 1365

Geometry Problem 1365.
Circle, Tangent, Secant, Chord, Parallel, Midpoint, Sketch, iPad Apps.

Geometry problem 1364

Geometry Problem 1364.
Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps.

Geometry problem 1363

Geometry Problem 1363.
Square, Angle Bisector, Perpendicular, 45 Degrees, Angle, Sketch, iPad Apps.

Geometry problem 1362

Geometry Problem 1362.
Equilateral Triangle Inscribed in a Circle, Lunula, Ratio of Areas, Tangent, Sketch, iPad Apps.

Geometry problem 1361

Geometry Problem 1361.
Triangle, Two Nine-Point Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps.

Geometry problem 1360

Geometry Problem 1360.
Triangle, Nine-Point Circle, Feuerbach's Circle, Euler's Circle, Cyclic Quadrilateral, Concyclic Points, Sketch, iPad Apps.

Geometry problem 1359

Geometry Problem 1359.
Triangle, Circumcircle, Congruent Angles, Midpoints.

Geometry problem 1358

Geometry Problem 1358.
Regular Dodecagon, Diagonals, Concurrency, Points, Lines.

Geometry problem 1357

Geometry Problem 1357.
Regular Dodecagon, Diagonals, Concurrency, Collinearity, Points, Lines.

Geometry problem 1356

Geometry Problem 1356.
Quadrilateral, Triangle, Angle, 30 Degrees, Congruence.

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Last updated: Oct 30, 2019