Geometry Problems: High School, College

Geometry Problems 501-600

 

Geometry Problems 501-600

Online education degree: Open geometry problems

Open Geometry Problems - Index

Triangle, Two Squares, Center, Midpoint

Problem 501.
Triangle, Two Squares, Center, Midpoint, another Square.

Triangle, Two Squares, Midpoint, Perpendicular, Half the measure

Problem 502.
Triangle, Two Squares, Midpoint, Perpendicular, Half the measure.

Triangle with Three Squares

Problem 503.
Triangle with Three Squares, Perpendicular, Congruence, Concurrency.

Equilateral Triangle, Angles, 45, 60 Degrees

Problem 504.
Equilateral Triangle, Angles, 45, 60 Degrees.

Right triangle, Cevian, Angles

Problem 505.
Right Triangle, Cevian, Sum of Segments, Angles.

Triangle with Three Squares, Center, Midpoint

Problem 506.
Triangle with Three Squares, Center, Midpoint, Perpendicular.

Triangle, 120 Degrees, Congruence, Angle

Problem 507.
Triangle, Interior Point, 120 Degrees, Congruence, Angle.

Triangle with three squares

Problem 508.
Triangle with three Squares, Four triangle of equal Area.

Triangle, 120 Degrees, Angles, Congruence, Mind Map

Problem 509.
Triangle, 120 Degrees, Angles, Congruence, Mind Map.

Triangle with three squares

Problem 510.
Triangle, Three Squares, Midpoints, Concurrency.

Online education: Geometry Problem 511

Problem 511.
Triangle, Double Angle, Angle Bisector, Measure.

Triangle with squares problem

Problem 512.
Triangle with three squares and concurrency.

Geometry problem Triangle with double angle

Problem 513.
Triangle, Double Angle, Exterior Angle Bisector, Measure.

Triangle with five squares

Problem 514.
Triangle, Five Squares, Line, Area.

Triaangle, Double-angle, Altitude

Problem 515.
Triangle, Double Angle, Altitude, Measure.

Triangle, Cevian, Congruence, Angles

Problem 516.
Triangle, Cevian, Congruence, Angles.

Right triangle with six squares

Problem 517.
Right Triangle, Six Squares, Areas.

Geometry problem 518

Problem 518.
Parallelogram, Five Squares, Centers, 45 Degrees, Measure.

Triangle with Squares and Rectangles

Problem 519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area.

Triangle with six Squares

Problem 520.
Triangle with six Squares, Ratio, Area.

Triangle, Three Squares, Altitude, Area

Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area.

Geometry Problem: Right triangle, Circle, Tangent

Problem 522.
Right Triangle, Circle, Diameter, Tangent.

Tangent Circles

Problem 523.
Tangent Circles, Diameter Perpendicular, Collinearity.

Circle with equilateral triangles

Problem 524.
Circle, Equilateral Triangles, Midpoint, Side, Measurement.

Circle, Tangent, Diameter, Radius, Congruence

Problem 525.
Circles, Diameter, Tangent, Radius, Congruence, Measurement.

Equilateral triangle, Circumcircle

Problem 526.
Equilateral Triangle, Circumcircle, Chord, Measurement.

Circle, Tangent, Secant, Midpoint

Problem 527.
Circle, Tangent, Secant, Chord, Midpoint, Measurement.

Triangle, Medians, Perpendicular

Problem 528.
Triangle, Medians, Perpendicular, Measurement.

Right Trapezoid, Circle, Diameter

Problem 529.
Right Trapezoid, Circle, Diameter.

Cyclic quadrilateral, Diagonal, Diameter

Problem 530.
Cyclic Quadrilateral, Diagonal, Diameter, Perpendicular, Congruence.

Triangle, Semiperimeter

Problem 531.
Triangle, Angle Bisector, Midpoint, Parallel, Perimeter, Semiperimeter.

Triangle, Area

Problem 532.
Triangle, Circumcircle, Equal Angles, Perpendicular, Area.

Problem 533: Euclid's Elements Book XIII, Proposition 10

Problem 533.
Euclid's Elements, Book XIII, Proposition 10. One page visual illustration.

Right triangle, square, area

Problem 534.
Right Triangle, Squares, Perpendicular, Dissection, Areas.

Sawayama - Thebault Theorem

Problem 535.
Sawayama - Thebault's theorem: Triangle, Incircle, Circle, Center, Tangent, Collinear.

Intersecting Circles, Chord, Perpendicular 

Problem 536.
Intersecting Circles, Chord, Perpendicular.

Rectangle, Midpoint, Diagonal, Angle Bisector

Problem 537.
Rectangle, Midpoints, Diagonal, Angle Bisector.

Triangle, Circumcircle, Perpendicular Bisector

Problem 538.
Triangle, Perpendicular Bisector, Circumcircle, Midpoint.

Right triangle, Square, Area

Problem 539.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras.

Right triangle, Square, Area

Problem 540.
Right Triangle, Square, Parallel, Perpendicular, Dissection, Area, Pythagoras.

Right triangle, Altitude, Angle Bisector

Problem 541.
Right Triangle, Altitude, Angle Bisector, Congruence.

Right triangle, Altitude, Angle Bisectors, 90 Degrees

Problem 542.
Right Triangle, Altitude, Angle Bisector, Perpendicular, 90 Degrees.

Right Triangle, Altitude, Angle Bisector, Median

Problem 543.
Right Triangle, Altitude, Angle Bisector, Median.

Right Triangle, Altitude, Median, Equal angles, Measure

Problem 544.
Right Triangle, Altitude, Median, Equal angles, Measure.

Acute Triangle with altitudes and squares

Problem 545.
Acute Triangle, Squares, Altitudes, Area, Measure.

Triangle, Angle Trisectors, Equilateral

Problem 546.
Triangle, Angle Trisectors, 60 Degrees, Equilateral triangle.

Triangle, Four circumcircles

Problem 547.
Triangle, Transversal, Four Circumcircles, Concurrency.

Triangle, Circumcircles, Circumcenters, Concyclic

Problem 548.
Triangle, Transversal, Four Circumcircles, Circumcenters, Concyclic Points, Similarity.

Parallel lines

Problem 549.
Parallel lines, Transversal, Angle Sums.

Parallel lines

Problem 550.
Parallel lines, Transversal, Angle Sums.

Parallel lines

Problem 551.
Parallel lines, Transversal, Angle Sums.

Parallel lines

Problem 552.
Parallel lines, Transversal, Angle Sums.

Quadrilateral, Angle, Sum

Problem 553.
Quadrilateral, Angles, Sum.

Concave quadrilateral

Problem 554.
Concave Quadrilateral, Angles, Sum.

Parallel lines, Angles

Problem 555.
Parallel lines, Angle Sums.

Quadrilateral, Diagonal, Angle

Problem 556.
Quadrilateral, Diagonal, Angles, Auxiliary Lines.

Varignon Parallelogram

Problem 557.
Quadrilateral, Midpoints, Sides, Varignon Parallelogram, Area, Auxiliary Lines.

Wittenbauer Parallelogram

Problem 558.
Quadrilateral, Trisection, Sides, Wittenbauer Parallelogram, Area, Auxiliary Lines.

Triangle, Incenter, 90 Degrees

Problem 559.
Triangle, Cevian, Incenters, Angle, 90 Degrees.

Triangle, Cevian, Incircles

Problem 560.
Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent.

Triangle, Cevian, Incenters, 90 Degrees

Problem 561.
Triangle, Cevian, Incenter, Incircle, Perpendicular, Tangent.

Math Education: Triangle, Incenter

Problem 562.
Triangle, Cevian, Incenter, Perpendicular, Concyclic Points, Cyclic Quadrilateral.

Pentagon, Rectangle

Problem 563.
Regular Pentagon, Center, Rectangle, Diagonals, Angle.

Complete quadrilateral, Circles

Problem 564.
Complete Quadrilateral, Incenter, Excenter, Concyclic Points, Incircle, Excircle.

Triangle, Circle, Congruence, Concyclic points

Problem 565.
Triangle, Isogonal lines, Angles, Congruence, Concyclic Points.

Quadrilateral, Parallel

Problem 566.
Quadrilateral, Diagonals, Parallel.

Geometry problem 567

Problem 567.
Right triangle, Incircle, Excircle, Collinear tangency points.

Triangle, Excircles, Congruence

Problem 568.
Triangle, Excircles, Tangency Point, Congruence.

Quadrilateral, Excircles

Problem 569.
Quadrilateral, Excircles, Tangency Points, Congruence.

Online education: Geometry Problem 570, Collinearity

Problem 570.
Square, Center, Right Triangles, Congruence, Collinearity.

Online Math: Geometry Problem 571, Circle

Problem 571.
Circle, Diameter, Chord, Perpendicular, Measurement.

Online Math: Geometry Problem 572, Right triangle and Circle

Problem 572.
Right triangle, Median, Circle, Diameter, Excircle, Tangent circles.

Cyclic quadrilateral, Angle bisector

Problem 573.
Cyclic quadrilateral, Angle bisector, Perpendicular.

Circle, Chord, Secante, Angle bisector

Problem 574.
Circle, Chord, Secant, Angle Bisector, Perpendicular.

Cyclic quadrilateral, angle bisector, measurement

Problem 575.
Cyclic quadrilateral, Angle bisector, Measurement.

Centroid, Barycenter

Problem 576.
Centroid, Triangle, Quadrilateral, Parallel, Measurement.

Isosceles triangle, Circle

Problem 577.
Isosceles triangle, Midpoint, Perpendicular, Concyclic points, Circle.

Perpendicular Chords

Problem 578.
Circle, Perpendicular Chords, Midpoints, Curvilinear Triangle, Area, 90 Degrees.

Quadrilateral, Diagonal, Area

Problem 579.
Quadrilateral, Diagonals, Triangles, Areas.

Triangle Area

Problem 580.
Triangles, Equal Angle, Transversal, Product of Sides, Areas.

Triangula Pyramid, Volume

Problem 581.
Volume of two Triangular Pyramids, Equal Trihedral Angle, Product of three Edges.

Quadrilateral, Diagonals, Incenters

Problem 582.
Quadrilateral, Diagonals, Incenters, Metric Relations.

Quadrilateral, Circumcenters

Problem 583.
Quadrilateral, Diagonals, Circumcenters, Parallelogram, Octagon, Areas.

Cyclic quadrilateral, Circumcenter, Parallelogram

Problem 584.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelograms.

Cyclic quadrilateral, Circumcenter, Concurrency

Problem 585.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Concurrency.

Cyclic quadrilateral, Circumcenter, Concurrency

Geometry Problem 586.
Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency.

Triangle, Incenter

Geometry Problem 587.
Triangle, Incenter, Incircle, Tangency Point, Midpoint, Distance, Half the Difference.

Triangle, Incenter, Midpoints

Geometry Problem 588.
Triangle, Incenter, Incircle, Tangency Points, Midpoints, Distance, Sum.

Triangle, Incenter, Midpoint, Perpendicular

Geometry Problem 589.
Triangle, Incenter, Incircle, Tangency Points, Midpoint, Perpendicular, Distance.

Triangle, Incenter, Midpoint, Area

Geometry Problem 590.
Triangle, Incenter, Incircle, Tangency Point, Midpoint, Areas.

Triangle, Incircle, Inradius, Altitude, Midpoint

Geometry Problem 591.
Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude.

Triangle, Incircle, Inradius, Midpoint, Concurrency

Geometry Problem 592
Triangle, Incenter, Incircle, Tangency Point, Midpoints, Concurrent Lines, Congruence.

Triangle, Circumcircle

Geometry Problem 593
Triangle, Circumcircle, Collinear Points.

Triangle, Incircle, Altitude, Incenter, Angle

Geometry Problem 594
Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude, Angle, Half the Difference.

Triangle, equal angles, metric relations

Geometry Problem 595
Triangle, Equal Angles, Isogonal Conjugate, Similarity.

Quadrilateral, 90 degrees, congruence

Geometry Problem 596
Quadrilateral, Right Triangle, Isosceles, Midpoint.

Quadrilateral, 90 degrees, congruence

Geometry Problem 597
Quadrilateral, Right Triangle, Isosceles, Angle, Congruence.

Trapezoid, Perpendicular, Metric Relation

Geometry Problem 598
Trapezoid, Perpendicular, Equal Angles, Metric Relation.

Regular Hexagon, Square, Midpoint, Angle, Degrees

Geometry Problem 599
Regular Hexagon, Square, Midpoint, Angle, Degrees.

Circle Area, Tangent

Geometry Problem 600
Circle, Area, Tangent, Semicircle, Tangency Point.




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