Geometry Problems, Online Education

Online Geometry Problems, Level: Mathematics Education, High School, College

Geometry Problems - Index (Page 1 of 40)

 

Online education degree: online geometry classes

Online education degree: Open geometry problems

Open Geometry Problems
Index

Circumscribed Quadrilateral, Angles

Geometry Problem 724.
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Circumscribed Quadrilateral, Circle, Angle, Incenter, Half the Measure.

Squares, Circles, Collinear

Geometry Problem 723.
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Squares, Circumscribed Circles, Collinear points.

Squares, Circles, Collinear

Geometry Problem 722.
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Squares, Circumscribed Circles, Collinear points.

Triangle, Orthocenter, Circumcircle, Collinear

Geometry Problem 721.
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Triangle, Orthocenter, Circumcircle, Altitude, Collinear points.

Excenter, Intersecting circles

Geometry Problem 720.
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Excenter, Intersecting Circles, Angle, Measurement.

Incenter, Intersecting circles

Geometry Problem 719.
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Incenter, Intersecting Circles, Angle, Measurement.

Intersecting circles

Geometry Problem 718.
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Intersecting Circles, Midpoint, Angle, Measurement.

Intersecting circles

Geometry Problem 717.
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Intersecting Circles, Midpoint, Angle, Measurement.

Intersecting circles

Geometry Problem 716.
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Problem 716. Intersecting Circles, Center, Radius, Perpendicular, 90 Degrees.

Triangle, Altitudes, Parallel, Circumcircle, Angle

Geometry Problem 715.
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Triangle, Altitudes, Parallel, Circumcircle, Angle, Measurement.

Triangle, Parallel, Concurrent, Ceva, Midpoint

Geometry Problem 714.
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Triangle, Parallel, Cevians, Midpoints, Median, Ceva Theorem.

Tangent Circles, Incenter, Chord

Geometry Problem 713.
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Tangent Circles, Diameter, Chord, Tangent, Incenter, Incircle, Triangle.

Semicircles, Tangent, Perpendicular, Angle

Geometry Problem 712.
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Semicircle, Diameter, Tangent, Perpendicular, Angle Measure.

Rectangle, Midpoint, Concyclic points

Geometry Problem 711.
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Rectangle, Midpoint, Angle, Concyclic Points, Cyclic Quadrilateral.

Parallelogram, Midpoint, Diagonal, Collinear, Metric Relations, Similarity, Congruence

Geometry Problem 710.
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Parallelogram, Midpoint, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence.

Parallelogram, Midpoints, Diagonal

Geometry Problem 709.
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Parallelogram, Midpoint, Diagonal, Metric Relations, Triangle.

Problem solving techniques, mind map

Problem Solving Techniques, Interactive Mind Map.

Circle, Area, Tangent, Intersecting, Lune

Geometry Problem 708.
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Circle, Tangent, Intersecting, Lune, Area, Diameter.

Triangle, Excenter, Angle

Geometry Problem 707.
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Triangle, Excenters, Angle Bisectors, Angle, Measurement.

Triangle, 3 Circumcenters, Concyclic, Cyclic quadrilateral

Geometry Problem 706.
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Triangle, Cevian, Three Circumcenters, Circumcircles, Concyclic Points, Cyclic quadrilateral.

Intersecting Circles, Diameter

Geometry Problem 705.
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Intersecting Circles, Diameter, Angles, Measurement.

Orthocenter, triangle, midpoint, perpendicular

Geometry Problem 704.
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Triangle, Orthocenter, Altitude, Midpoint, Perpendicular.

Triangle, Incircle, Diameter

Geometry Problem 703.
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Triangle, Incircle, Tangency point, Diameter, Congruence.

Trianglr, Circumcicle, Concyclic

Geometry Problem 702.
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Triangle, Circumcircle, Parallel, Concyclic Points.

Intersecting Circles, Diameter, Perpendicular

Geometry Problem 701.
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Intersecting Circles, Diameter, Perpendicular, Angles, Congruence.

Equilateral triangle, Circle

Geometry Problem 700.
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Equilateral Triangle, Circle, Circular Segment, Midpoint of a side, Metric Relations.

Equilateral triangle, Circle

Geometry Problem 699.
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Equilateral Triangle, Circle, Circular Segment, Midpoint, Metric Relations.

Geometry problems 691-700

Geometry Problems 691 - 700.
Triangle, Quadrilateral, Circle, Metric Relations, Square, 30-60-120 Degrees, Area, Congruence.

Quadrilateral, 120 degrees, Angles

Geometry Problem 698.
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Quadrilateral, Diagonal, Angle Bisector, Triangle, 120 Degrees.

Square, Circle, Area

Geometry Problem 697.
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Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya.

Ten Geometry Problems, Visual Index

Ten Geometry Problems, Visual Index

Circle, Square, Area

Geometry Problem 696.
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Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya.

Circle, Square, Area

Geometry Problem 695.
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Triangle, Quadrilateral, Angles, Auxiliary Construction, Congruence, Mind Map, Polya.

Circle, Square, Area

Geometry Problem 694.
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Triangle, Angles, 30 Degrees, Auxiliary Construction, Mind Map, Polya.

Circle, Square, Area

Geometry Problem 693.
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Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya.

Quatrefoil, Circle, Square, Area

Geometry Problem 692.
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Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Polya.

Isosceles triangle 80, 20, 20 degrees

Geometry Problem 691.
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Isosceles Triangle, 80-80-20 Degrees, Angles, Congruence, Mind Map, Polya
.

Distance between the incenter to the centroid

Problem 690: Distance between the Incenter and the Centroid of a Triangle.
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Formula in terms of the sides a,b,c.

Triangle, Excircles, Tangent, Concurrency

Geometry Problem 689.
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Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map.

Geometry Problem 688, Triangle, 60 Degrees, Mind Map

Geometry Problem 688.
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Triangle, Angles, 10, 20, 30, 40, 60 Degrees, Measure, Mind Map, Polya
.

Triangle, Excircles, COncurrency

Geometry Problem 687.
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Triangle, Three Excircles, Tangency points, Concurrent Lines
.

Triangle, Excircles, Tangent

Geometry Problem 686.
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Triangle, Three Excircles, Tangency points, Tangent lines, Semi-perimeter, Congruence.

Isosceles triangl 100-40-40 degrees

Geometry Problem 685
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Isosceles Triangle, 100-40-40 Degrees, Angles, Congruence.

Outer Nagel Point

Geometry Problem 684: Outer Nagel Point.
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Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Nagel Point

Geometry Problem 683: Nagel Point.
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Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Gergonne Point Theorem

Geometry Problem 682: Gergonne External Point.
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Triangle, Excircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem.

Gergonne Point Theorem

Geometry Problem 681: Gergonne Point.
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Triangle, Incircle, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem.

Concentric Circles

Geometry Problem 680.
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Concentric Circles, Radii, Chords, Perpendicular, Metric Relations.

Triangle, Circle, Median, Proportion

Geometry Problem 679.
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Triangle, Circle, Median, Proportion.

Simson Line, Parallel

Geometry Problem 678.
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Triangle, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points.

Parallelogram, Midpoint, Diagonal

Geometry Problem 677.
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Parallelogram, Midpoint, Diagonal, Metric Relations.

Circles, Diameter, Tangent, Metric Relations

Geometry Problem 676.
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Circles, Diameter, Tangent, Chord, Metric Relations.

Collinear points, Intersecting circles

Geometry Problem 675.
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Intersecting Circles, Secant, 45 and 90 Degrees, Collinear Points.

Triangle, Altitude, Angles

Geometry Problem 674.
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Triangle, Altitude, Angles.

Tangent Circles, Chord, Metric Relations

Geometry Problem 673.
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Internally tangent circles, Chord, Tangent, Metric Relations.

Tangent Circles, Geometric Mean

Geometry Problem 672.
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Internally tangent circles, Chord, Tangent, Geometric Mean.

Geometry problem: Triangle, Angles, Congruence

Geometry Problem 671.
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Triangle, Cevian, Angles, Congruence.

Triangle, 60 Degrees

Geometry Problem 670.
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Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Congruence.

Triangle, Circumcircle, Incenter

Geometry Problem 669.
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Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map.

Right triangle, Incircles

Geometry Problem 668.
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Right triangle, Incircles, Parallel, Common Tangent, Mind Map.

Triangle, Circle, Diameter, Perpendicular

Geometry Problem 660 Solution 1.
Chinese version.
Triangle, Circle, Diameter, Perpendicular Lines.

Intersecting circles, Tangent, Metric Relations

Geometry Problem 667.
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Intersecting Circles, Secant, Tangent, Metric Relations, Mind Map.

Intersecting circles

Geometry Problem 666.
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Intersecting Circles, Secant, Tangent, Concyclic points, Mind Map.

Intersecting circles

Geometry Problem 665.
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Intersecting Circles, Secant, Tangent, Angles, Mind Map.

Triangle, 60 Degrees, Centers, Angles

Geometry Problem 664.
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Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Angles, Triangle centers.

Triangle, 60 Degrees, Concurrent lines

Geometry Problem 663.
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Scalene Triangle, 60 Degrees, Altitude, Angle Bisector, Perpendicular Bisector, Concurrent lines.

Triangle Centers, Angles

Geometry Problem 662.
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Triangle, Incenter, Circumcenter, Orthocenter, Circle, Angle, Measurement.

Intersecting Circles

Geometry Problem 661.
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Intersecting Circles, Centers, Secant, Parallelogram.

Triangle, Circle, Diameter, Perpendicular

Geometry Problem 660.
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Triangle, Circle, Diameter, Perpendicular Lines.

Parallelogram, Parallel lines, Collinear points

Geometry Problem 659.
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Parallelogram, Parallel Lines, Collinear Points.

Triangle, Altitudes, Circles, Angles

Geometry Problem 658.
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Triangle, Altitudes, Diameter, Circle, Angles.

Triangle, Incircle, Parallel

Geometry Problem 657.
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Triangle, Incircle, Tangency Points, Parallel Lines, Congruence.

Triangle, Cevian, Concurrent Lines

Geometry Problem 656.
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Triangle, Cevian, Concurrent Lines.

Archimedes Book of Lemmas Proposition 15

Geometry Problem 655.
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Archimedes Book of Lemmas: Proposition 15
Circle, Inscribed Regular Pentagon, Radius.

Archimedes Book of Lemmas Proposition 14

Geometry Problem 654.
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Archimedes Book of Lemmas: Proposition 14
Salinon, Semicircles, Diameter, Circle, Area.

Archimedes Book of Lemmas Proposition 13

Geometry Problem 653.
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Archimedes Book of Lemmas: Proposition 13
Circle, Chord, Perpendicular, Congruence.

Archimedes Book of Lemmas Proposition 12

Geometry Problem 652.
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Archimedes Book of Lemmas: Proposition 12
Perpendicular chords, Arcs, Radius.

Archimedes Book of Lemmas Proposition 11

Geometry Problem 651.
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Archimedes Book of Lemmas: Proposition 11
Perpendicular chords, Arcs, Radius.

Tangent Circles

Geometry Problem 650.
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Tangent Circles, Diameter, Radius, Chord, Perpendicular.

Archimedes Book of Lemmas Proposition 10

Geometry Problem 649.
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Archimedes Book of Lemmas: Proposition 10
Tangent, Chord, Parallel, Midpoint.

Archimedes Book of Lemmas Proposition 9

Geometry Problem 648.
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Archimedes Book of Lemmas: Proposition 9
Perpendicular chords, Arcs.

Archimedes Book of Lemmas Proposition 8

Geometry Problem 647.
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Archimedes Book of Lemmas: Proposition 8
Angle trisection. Neusis construction.

Archimedes Book of Lemmas Proposition 7

Geometry Problem 646.
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Archimedes Book of Lemmas: Proposition 7
Square,Inscribed and Circumscribed Circles, Area.

Archimedes Book of Lemmas Proposition 6

Geometry Problem 645.
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Archimedes Book of Lemmas: Proposition 6
Semicircle, Circle, Perpendicular, Arbelos, Inscribed Circle.

Archimedes Book of Lemmas Proposition 5

Geometry Problem 644.
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Archimedes Book of Lemmas: Proposition 5
Semicircle, Circle, Perpendicular, Arbelos, Archimedean Twins.

Archimedes Book of Lemmas Proposition 4

Geometry Problem 643.
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Archimedes Book of Lemmas: Proposition 4
Semicircle, Circle, Perpendicular, Arbelos, Area.

Archimedes Book of Lemmas Proposition 3

Geometry Problem 642.
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Archimedes Book of Lemmas: Proposition 3
Semicircle, Perpendicular, Arc, Midpoint, Congruence.

Archimedes Book of Lemmas Proposition 2

Geometry Problem 641.
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Archimedes Book of Lemmas: Proposition 2
Semicircle, Tangent, Perpendicular, Midpoint.

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