Geometry Problems: High School, College

Geometry Problems 301-400

 

Geometry Problems 301-400

Online education degree: Open geometry problems

Open Geometry Problems - Index

Tangents to a circle, Secants

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

Triangle and angle bisector of 60 degrees

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

Triangle and angle bisector of 90 degrees

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

Triangle and angle bisector of 120 degrees

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

Problem 305: Square and Triangle

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

Elearning 306: Square and Triangles

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

Nonagon, Midpoints, Angle

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

Elearning Geometry Problem 308

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

Nonagon problem

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

Circle inscribed in a semicircle

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

Circle, Semicircle, Chord, Diameter

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

Elearning 312: Cyclic quadrilateral

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

Circle, Chord, Tangent, Perpendicular

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

Tangent circles and line

Proposed Problem 314.
Tangent circles, Common external tangent line, Geometric Mean.

Three Tangent Circles

Proposed Problem 315.
Three Tangent circles, Common external tangent line, Geometric Mean.

Circular Segments, Inscribed Squares

Proposed Problem 316.
Circular segments and Inscribed Squares.

Elearning 317 Right triangle

Proposed Problem 317.
Right triangle and Inscribed Squares.

Elearning 318

Proposed Problem 318.
A Scalene triangle, Altitudes, Collinear points.

Triangle, Altitude

Proposed Problem 319.
Triangle, Altitudes, Perpendiculars, Collinear points.

Triangle, Circumcenter, Incenter, Excenter, Collinear

Proposed Problem 320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points.

Triangle, Incenter, Excircle, Altitude, Collinear

Proposed Problem 321.
Triangle, Incenter, Excircle, Midpoint of the Altitude, Collinearity.

Area of a triangle

Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area.

Triangle, Incenter, Circumcenter, Collinear

Proposed Problem 323.
Triangle, Incenter, Circumcenter, Equal circles, Collinearity.

Elearning 324: Quadrilateral

Proposed Problem 324.
Quadrilateral with perpendicular diagonals, Concurrence.

Isosceles triangle, Altitude, Incircle, Excircle

Proposed Problem 325.
Isosceles triangle, Altitude, Cevian, Incircle, Excircle.

Equilateral triangle and semicircle

Proposed Problem 326.
Equilateral triangle, Semicircle, Equal arcs.

Right triangle Area, Semicircle, Square

Proposed Problem 327.
Right triangle Area, Incircle, Circumcircle, Square.

Triangle, Incircle, Parallel, Midpoint

Proposed Problem 328.
Triangle, Incircle, Tangency Points, Parallel, Midpoint.

Triangle, Altitudes, Concyclic Points

Proposed Problem 329.
Triangle, Altitudes, Circle, Diameter, Concyclic points.

Cyclic quadrilateral

Proposed Problem 330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter.

Elearning 331 Square, Inscribed Circle

Proposed Problem 331.
Square, Point on the Inscribed Circle, Tangency Points.

Cyclic Quadrilateral Problem

Proposed Problem 332.
Cyclic quadrilateral, Ratio of diagonals, Similarity.

Circle and Inscribed Semicircle

Proposed Problem 333.
Circle inscribed in a semicircle, Perpendicular to the common tangent.

Problem 334 Cyclic Quadrilateral, Perpendiculars to Diagonals

Proposed Problem 334.
Cyclic Quadrilateral, Perpendiculars to Diagonals.

Cyclic Quadrilateral, Perpendiculars to Sides

Proposed Problem 335.
Cyclic Quadrilateral, Perpendiculars to Sides.

Tangent circles, Square

Proposed Problem 336.
Two equal circles, a Common Tangent and a Square.

Isosceles Trapezoid, Concyclic Points

Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points.

Problem 338 concyclic points

Proposed Problem 338.
Triangle, Circumcircle, Inscribed Circle, Exterior angle bisector, Concyclic points.

Triangle, Angle Bisectors

Proposed Problem 339.
Triangle, Angle Bisectors, Perpendiculars, Distances. Interior Point.

Triangle, Angle Bisectors

Proposed Problem 340.
Triangle, Angle Bisectors, Perpendiculars, Distances. Exterior Point.

Triangle, inscribed circle, tangent

Proposed Problem 341.
Triangle, Inscribed circle, Tangent, Semiperimeter.

Pentagon, Circle, Tangent,Semiperimeter

Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter.

Hexagon, Inscribed Circle

Proposed Problem 343.
Hexagon, Inscribed circle, Tangent, Semiperimeter.

Quadrilateral, Circle, Tangent

Proposed Problem 344.
Quadrilateral, Extension of sides, Circle, Tangent, Semiperimeter.

Geometry Problem: Equal circles, Tangents

Proposed Problem 345.
Equal circles, Tangents, Concurrent lines, Hexagon, Semiperimeter.

Geometry Problem: Equal circles, Tangents, Hexagon

Proposed Problem 346.
Equal circles, Tangents, Hexagon, Semiperimeter.

Triangle, Altitude, Circle, Concyclic points

Proposed Problem 347.
Triangle, Altitude, Perpendicular, Circle, Concyclic points.

Common tangents

Proposed Problem 348.
Circles, Common External Tangents, Common Internal Tangent.

Triangle, Cevian, Incircles

Proposed Problem 349.
Triangle, Cevian, Incircles, Tangents, Tangency Point.

Triangle, Cevian, Incircles, Angles

Proposed Problem 350.
Triangle, Cevian, Incircles, Tangents, Tangency Point, Angles.

Rhombus, Circumscribable quadrilateral

Proposed Problem 351.
Rhombus, Incircles, Common tangent, Circumscribable or Tangential quadrilateral.

Tangential quadrilateral

Proposed Problem 352.
Tangential quadrilateral, Incircles, Common tangent, Circumscribable or Tangential quadrilateral.

Tangential quadrilateral, Incircle, Inradius

Proposed Problem 353.
Tangential quadrilateral, Diagonals, Incircles, Inradii.

Rhombus, Square 

Proposed Problem 354.
Rhombus, Square, 45 degrees.

Circles, Tangent, Concyclic points

Proposed Problem 355.
Circles, Common external tangent, Concyclic points.

Square, Triangle, Area

Proposed Problem 356.
Square, Point inside, Triangles, Area.

Square, Exterior point, Triangle, Area

Proposed Problem 357.
Square, Exterior point, Triangles, Area.

Isosceles triangle 80 80 20

Proposed Problem 358.
Isosceles triangle 80-80-20, Circle, Angles, Congruence.

Cyclic quadrilateral, Rhombus

Proposed Problem 359.
Cyclic quadrilateral, Angle bisector, Rhombus.

Area of Triangle, Circles, Diameters

Proposed Problem 360.
Area of a triangle, Curvilinear triangles, Circles, Diameters.

Right triangle, Incircle, Angle

Proposed Problem 361.
Right triangle, Incircle, Incenter, Tangency points, Angle.

Circle, Chord, Perpendicular

Proposed Problem 362.
Circle, Chord, Perpendicular, Equal chords.

Right triangle, Congruence, Angles

Proposed Problem 363.
Right triangle, Congruence, Angles.

Triangle area, Circle, Curvilinear triangle

Proposed Problem 364.
Obtuse triangle, Congruence, Circles, Diameter, Curvilinear triangle, Area.

Circular sector 60 degrees

Proposed Problem 365.
Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence.

Equilateral triangle, circumcircle

Proposed Problem 366.
Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral triangle.

Square, 45 degrees

Proposed Problem 367.
Square, Angle, 45 degrees, Pythagoras, Congruence, Similarity.

Triangle, 120 degrees, angle bisectors

Proposed Problem 368.
Triangle, 120 degrees, Angle bisectors, Perpendicular.
Puzzle problem 368.

Intersecting circles, chord, angle, congruence 

Proposed Problem 369.
Intersecting circles, Chord, Center, Angle, Congruence.

Triangle with squares, Circumcircles

Proposed Problem 370.
Triangle with squares, Circumcircles, Tangent circles.

Square, Triangle, Area, Circle

Proposed Problem 371.
Square, Inscribed circle, Triangle, Area.

Circles, Common tangent

Proposed Problem 372.
Circles, Common Internal and External Tangent, Angles.

Problem about square and inscribed circle

Proposed Problem 373.
Square, Inscribed Circle, Diagonal, Perpendicular, Angle.

Tiangle, Incenter, Angle

Proposed Problem 374.
Triangle, Incenter, Internal Angle Bisectors.

Triangle, Excenter, Angle

Proposed Problem 375.
Triangle, Excenter, External Angle Bisectors.

Triangle, Excenter, Internal and External angle bisector,

Proposed Problem 376.
Triangle, Excenter, Internal and External Angle Bisectors.

Triangle, Altitude, Angle bisector

Proposed Problem 377.
Triangle, Internal Angle Bisector, Altitude.

Triangle, Incenter, Parallel to a side

Proposed Problem 378.
Triangle, Incenter, Parallel to a side, Angle, Congruence.

Triangle, Excenter, Parallel

Proposed Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence.

Triangle, Excenter, Parallel

Proposed Problem 380.
Triangle, Excenter, Parallel to a side, Angle, Congruence.

Quadrilateral, Angle Bisectors

Proposed Problem 381.
Quadrilateral, Diagonals, Angle Bisectors, Semi-sum of Angles.

Quadrilateral, Angle Bisectors

Proposed Problem 382.
Concave Quadrilateral, Angle Bisectors, Semi-sum of Angles.

Concave Quadrilateral, Angle bisectors

Proposed Problem 383.
Concave Quadrilateral, Angle Bisectors, Semi-difference of Angles.

Triangle, Angle bisectors

Proposed Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.

Triangle, Angle bisectors

Proposed Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.

Triangle, Angle bisectors

Proposed Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter, Congruence.

Triangle, Angle Bisector, Perpendicular, Concyclic points

Proposed Problem 387.
Triangle, Angle bisector, Perpendicular, Concyclic points.

Triangle, Angle bisector, Perpendicular, Parallel

Proposed Problem 388.
Triangle, Angle bisector, Perpendicular, Parallel.

Triangle, Parallel, Harmonic Mean

Proposed Problem 389.
Triangle, Parallel lines, Harmonic Mean.

Triangle, Parallel, Collinear points

Proposed Problem 390.
Triangle, Parallel lines, Collinear points.

Triangle, Parallel, Collinear points

Proposed Problem 391.
Triangle, Parallel lines, Collinear points.

Triangle, Parallel, Concurrent lines

Proposed Problem 392.
Triangle, Parallel lines, Concurrent lines.

Triangle, Orthocenter

Proposed Problem 393.
Triangle, Orthocenter, Circumcircles, Congruence, Collinear.

Square, Circle

Proposed Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence.

Square, 15 degree

Proposed Problem 395.
Square, 15 Degree, Equilateral triangle.

Square, Angle trisectors

Proposed Problem 396.
Square, Angle Trisectors, Congruence, Area.

Triangle, Altitude

Proposed Problem 397.
Triangle, Altitude, Midpoints, Congruence.

Parallelogram, Area

Proposed Problem 398.
Parallelogram, Area, Similarity, Congruence.

RIght triangle, Midpoints, Distance

Proposed Problem 399.
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence.

Triangle, Angle Bisector, Circumcircle

Proposed Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence.




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