Geometry Problems: High School, College

Geometry Problems 401-500

 

Geometry Problems 401-500

Online education degree: Open geometry problems

Open Geometry Problems - Index

Area of a triangle, Circumcircle, Angle Bisector

Geometry Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.
Puzzle based on poblem 401.

Hexagon, Centroids

Proposed Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity.

Circular Sector 90 degrees

Proposed Problem 403.
Circular sector, 90 degrees, Circle, Semicircle, Area.

Equilateral triangles

Proposed Problem 404.
External Equilateral triangles, Congruent and Concurrent Lines.

Quadrilateral, 60, 75, 135 degrees

Proposed Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint.

Right triangle, 15 degrees

Proposed Problem 406.
Right triangle, 15 degrees, Midpoints, Congruence.

Angle, Circle, Radius, Tangent, Secant, Perpendicular

Proposed Problem 407.
Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.

Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence

Proposed Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence.

Quadrilateral, Angles, Diagonals, Perpendicular

Proposed Problem 409.
Quadrilateral, Diagonals, Perpendicular, Congruence.

Regular pentagons, Angle

Proposed Problem 410.
Two Regular Pentagons, Angle.
Puzzle: 22 piece polygons.

Triangle, Median, Angles

Proposed Problem 411.
Triangle, Median, Angles.

Triangle, Angles, Congruence

Proposed Problem 412.
Triangle, Cevian, Angles, Congruence.

Cyclic quadrilateral, Orthocenter, Parallelogram, Congruence

Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency, Congruence.

Triangle, Angle, Median, Altitude, Congruence

Proposed Problem 414.
Triangle, Angles, Altitude, Median, Congruence.

Right triangle, Cevian, Angle, Congruence

Proposed Problem 415.
Right Triangle, Cevian, Angles, Congruence.

Area of a triangle, Cevian, Trisector

Proposed Problem 416.
Triangle, Cevians, Trisectors, Area.

Tangent circles, Angles

Proposed Problem 417.
Tangent circles, Tangent lines, Angles.

Triangle, Incircle, Inradius, Tangent

Proposed Problem 418.
Triangle, Incircle, Inradius, Equal Tangent circles, Radius.

Triangle, Incircle, Excircle, Inradius, Exradius

Proposed Problem 419.
Triangle, Cevian, Incircle, Excircle, Inradius, Exradius.

Triangle, Angle, Altitude, Side, Measurement

Proposed Problem 420.
Triangle, Altitude, Angles, Sides, Measurement.

Right triangle, Angles, Measurement

Proposed Problem 421.
Right Triangle, Cevian, Angles, Measurement.

Triangle, Angle, Congruence

Proposed Problem 422.
Triangle, 24, 30 degree, Angle, Congruence.

Triangle, Angle, Congruence

Proposed Problem 423.
Triangle, 30, 40 degree, Angle, Congruence.

Triangle, Cevian, Angle, 90 degree, Congruence

Proposed Problem 424.
Triangle, Cevian, Angle, 90 degree, Congruence.

Geometry classes problem 425

Proposed Problem 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence.

Circumradius, Circumcenter, Triangle

Proposed Problem 426.
Triangle, Circumradius, Circumcenter, concurrent Cevians.

Triangle, Altitudes

Proposed Problem 427.
Triangle, Two Altitudes, Square of a Side.

Quadrant of a circle, Square

Proposed Problem 428.
Quadrant of a circle, Square, Angle bisector, Measurement.

Regular pentagon

Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement.

Inscribed and Circumscribed regular Pentagon, Areas

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas.

Quadrilateral, Midpoint diagonals

Proposed Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal.

Problem 432: Trapezoid, Parallel, Similarity

Proposed Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal.

Problem 433: Quadrilateral, Area

Proposed Problem 433.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Quadrilateral, transversal, ratio, similarity

Proposed Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity.

Triangle, CIrcle, Incircle, Inradius

Proposed Problem 435.
Triangle, Incircle, Inradius, Congruent circles, tangent, Measurement.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 436.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 437.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 438.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement, Parallel lines.

Circle, Angle, Incenter, Isosceles triangle

Proposed Problem 439.
Isosceles triangle, Cevian, Incenter, Angles, Circle.

Geometry problem 440

Proposed Problem 440.
Triangle, Incircle, Incenter, Angle Bisector, Tangency Points, Circle, Angles.

Problem 441: Quadrilateral, Area

Proposed Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Triangle, Median, Transversal

Proposed Problem 442.
Triangle, Median, Cevian, Transversal, Congruent Angles.

Intersecting circles

Proposed Problem 443.
Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles.

Tangent Circles

Proposed Problem 444.
Internally Tangent circles, Secant line, Chords, Angles, Congruence.

Three Tangent Circles

Proposed Problem 445.
Three Tangent Circles, Tangency Points, Circumradius.

Quadrilateral Area

Proposed Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts.

Complete Quadrilateral

Proposed Problem 447.
Complete Quadrilateral, Inradii, Exradii, Sides.

Tangent circles, diameter

Proposed Problem 448.
Tangent Circles, Diameter, Perpendicular, Chord.

Circle, Diameter, Sagitta

Proposed Problem 449.
Congruent Tangent Circles, Diameter, Sagitta, Arc, Perpendicular, Chord.

Triangle, Median, Cevian

Proposed Problem 450.
Triangle, Median, Cevian, Congruence, Proportional Segments.

Triangle, median

Proposed Problem 451.
Triangle, Median, Congruence, Proportional Segments.

Triangle, Circle, Tangent

Proposed Problem 452.
Triangle, Circle, Tangent, Proportional Segments.

Circular segments

Proposed Problem 453.
Intersecting Circles, Tangent, Circular Segment, Congruence, Area.

Triangle, Incircle, Inradius

Proposed Problem 454.
Triangle, Incircle, Inradius, Tangent, Circle, Radius.

Rhombus, Circle

Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees.

Three tangent circles

Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear.

Triangle Brocard point

Proposed Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius.

Square, Circle, Tangent

Proposed Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement.

Right triangle, Squares

Proposed Problem 459.
Right triangle, Squares, Distance, Measurement.

Circle, Tangent, Perpendicular, Radius

Proposed Problem 460.
Circle, Tangent, Perpendicular, Radius, Distance, Measurement.

Three tangent circles, Radius, Distance

Proposed Problem 461.
Three Circles, Tangent, Right Angle, Center, Distance, Measurement.

Square, Circle, Arc, 90 Degrees

Proposed Problem 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, Measurement.

Concentric Circles, Tangent, Area

Proposed Problem 463.
Three Concentric Circles, Secant, Tangent, Triangle, Area.

Square, Arc, Angle

Proposed Problem 464.
Square, Arcs, Center, Angle, 90 Degrees, 120 Degrees.

Square, Arc, 90 degrees

Proposed Problem 465.
Square, Arc, Angle, 90 Degrees, Measurement.

Concentric circles, secant, congruence

Proposed Problem 466.
Concentric Circles, Secant, Congruence, Measurement.

Concentric circles

Problem 467.
Concentric Circles, Chord, Tangent, Congruence, Measurement.

Circle, chord, congruence, angle

Problem 468.
Circle, Chord, Midpoint, Congruence, Angle.

Isosceles triangle, midpoint, transversal

Problem 469.
Isosceles triangle, Midpoint, Transversal, Congruence.

Triangle area, Similarity

Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Triangle area, parallel, concurrency

Problem 471.
Triangle, Parallel, Side, Concurrency, Area, Similarity.

Triangle, Area, Similarity

Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Triangle, Area, Similarity

Problem 473.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Parallelogram, Diagonal, Circle

Problem 474.
Parallelogram, Diagonal, Circle, Vertex.

Tangent circles, secant, parallel

Problem 475.
Tangent Circles, Secant, Tangent, Parallel.

Triangle, Circumcenter, Angle

Problem 476.
Triangle, Circumcenter, Circumcircle, Angles.

Parallelogram, triangle, quadrilateral, area

Problem 477.
Parallelogram, Triangle, Quadrilateral, Area.

Triangle, Sides, Circumradius

Problem 478.
Triangle, Sides, Circumradius, Circumcenter, Circumcircle.

Triangle COncurrency, Transversal, Proportion

Problem 479.
Triangle, Cevians, Concurrency, Transversal, Proportion.

 Triangle, circle, angle, altitude

Problem 480.
Triangle, Circle, Center, Altitude, Angle, Circumcenter.

Triangle, Altitude, Perpendicular, Angle

Problem 481.
Triangle, Altitude, Cevian, Perpendicular, Angle.

Triangle, Circumcircle, Incircle, Excircle

Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points.

Triangle, Square, 90 degrees

Problem 483.
Square, Angle, 90 degrees, Measurement.

Square, Angle, 90 degrees, Proportion

Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion.

Square, Circles, Tangent

Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement.

Tangent circles, Midpoint, Arc, Collinear

Problem 486.
Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence.

Circle, Area, 90 Degrees

Problem 487.
Intersecting Circles, Area, Diameter, Parallel, 90 Degrees.

Triangle, Cevian, Circle, Concurrency

Problem 488.
Triangle, Cevian, Concurrency, Circle, Circumcircle.

Elearn 489: Parallelogram, Areas

Problem 489.
Parallelogram, Triangle, Quadrilateral, Area.

Elearn 490: Circular Sector Area

Problem 490.
Tangent Circles, Arc, Radius, Circular Sector, Area.

Elearn 491: Square, Incircles, Radius, Side

Problem 491.
Square, Right Triangle, Incircle, Inscribed Circle, Radius.

Elearn 492: Quadrilateral, CIrcle, Perpendicular, Parallel

Problem 492.
Cyclic Quadrilateral, Circle, Perpendicular, Side, Diagonal, Parallel.

Elearn 493: Right triangle, Circumcircle, Perpendicular

Problem 493.
Right Triangle, Circumcircle, Perpendicular, Chord.

Elearn 494: Circular Sector, 90 Degrees

Problem 494.
Circular Sector, 90 Degrees, Semicircle, Chord, Parallel.

Triangle with 120 degrees

Problem 495.
Triangle, 120 Degrees, Angle Bisectors.

Triangle with Squares, 90 degrees

Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors.

Triangle, Two Squares, Centers, Midpoint, 90 Degrees

Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees.

Triangle, Angle Bisector, Double Angle

Problem 498.
Triangle, Angle Bisector, Double Angle, Measure.

Triangle, Two Squares, Perpendicular

Problem 499.
Triangle, Two Squares, Perpendicular.

Circle, Diameter, Chord, Perpendicular

Problem 500.
Circle, Diameter, Chord, Perpendicular, Measurement.




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