Geometry Problems, Online Education

Online Geometry Problems, Level: Mathematics Education, High School, College
Index (Page 1 of 40)

Geometry Problems - Index (Page 1 of 40)

Online education degree: online geometry classes

NCTM Processes: Problem Solving, Reasoning & Proof,
Communications, Connections, and Representation

Online education degree: Open geometry problems

Open Geometry Problems

Geometry Problem 890

Geometry Problem 890
Two Squares inscribed in Circles, Concurrent Lines. GeoGebra, HTML5 Animation for Tablets.

Geometry Problem 889

Geometry Problem 889
Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets.

Problem 888

Geometry Problem 888
Butterfly Theorem, Circle, Chord, Midpoint. GeoGebra, HTML5 Animation for Tablets.

Problem 887

Geometry Problem 887
Triangle, Altitude, Angle Bisector, Perpendicular, Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets.

Problem 886

Geometry Problem 886
Right Triangle, Incenter, Angle Bisector, Perpendicular, 45 Degrees, Concyclic Points, Isosceles Right Triangle. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).

Pythagoras curiosity. Online tutoring.

Geometry Problem 885
Intersecting Circles, Three Tangent Lines, Midpoint.

Pythagoras curiosity. Online tutoring.

Geometry Problem 884: The Pythagorean Curiosity
Right Triangles and squares, fifteen conclusions.

Geometry Problem 883

Geometry Problem 883
Five Circumscribed Quadrilaterals, Circle, Tangent, Common Tangent.

Geometry Problem 882

Geometry Problem 882
Triangle, Angle x, 2x, 7x, Cevian, Congruence, Auxiliary Lines.

Geometry Problem 881

Geometry Problem 881
Triangle, three Squares, Centers, Areas.

Geometry Problem 880

Geometry Problem 880
Triangle, Midpoints, Sides, Perpendiculars, Hexagon, Area.

Geometry Problem 879

Geometry Problem 879
Square, Midpoint, Diagonal, Ratio 3:1, Angle Measure.

Geometry Problem 878

Geometry Problem 878
Square, Inscribed Circle, Quadrant, Center, Perpendicular, Metric Relations.

Geometry Problem 877

Geometry Problem 877
Square, Right Triangle, Similarity, Metric Relations, Transversal.

Geometry Problem 876

Geometry Problem 876
Equilateral Triangle, any Point, Perpendicular, Right Triangle Area, Sum of Areas.

Geometry Problem 875

Geometry Problem 875
Congruent Circles, Intersecting Circles, Secant, Center, Angle Trisection, Triple Angle.

Geometry Problem 874

Geometry Problem 874
Isosceles Triangle, Circumcircle, Circumcenter, Congruence.

Geometry Problem 873: Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence

Geometry Problem 873
Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence.

Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees

Geometry Problem 872
Quadrilateral, Triangle, Angle, 30, 90 degrees.

Geometry Problem 871: Brahmagupta's Theorem, Cyclic Quadrilateral, Perpendicular Diagonals, Midpoint

Geometry Problem 871
Brahmagupta's Theorem, Cyclic Quadrilateral, Perpendicular Diagonals, Midpoint.

Geometry Problem 870: Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint

Geometry Problem 870
Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint.

Geometry Problem 869: Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint

Geometry Problem 869
Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint.

Geometry problem 868, Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence

Geometry Problem 868
Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence.

Geometry problem 867, Isosceles Triangle, Median, Perpendicular, Angle, Congruence

Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence.

Geometry problem 866, Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees

Geometry Problem 866
Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees.

Geometry problem 865, Parallelogram, Midpoint, Parallel

Geometry Problem 865
Parallelogram, Diagonal, Midpoint, Side, Triangle, Parallel, Similarity.

Geometry problem 864 about Parallelogram

Geometry Problem 864
Parallelogram, Diagonal, Congruence, Similarity, Metric Relations.

Circumscribed trapezoid, Inscribed Circle, Tangent

Geometry Problem 863
Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations.

Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square

Geometry Problem 862:
Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square
.

Triangle, Incircle, Parallel, Tangent, Metric Relations

Geometry Problem 861
Triangle, Incircle, Parallel, Tangent, Metric Relations.

Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence

Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence.

Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector

Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector.

Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines

Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines.

Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines.

Problem 856: Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines

Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines.

Problem 853: Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations

Geometry Problem 853
Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations.

Problem 852: Triangle, Incircle, Inradius, Tangent, Metric Relations

Geometry Problem 852
Triangle, Incircle, Inradius, Tangent, Metric Relations.

Problem 851: Triangle, Triple side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 851
Triangle, Triple side, Angles, 90 Degrees, Special Right triangle, Sides ratio 1:3.

Problem 850: Triangle, Double side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 850
Triangle, Double side, Angles, 90 Degrees, Special Right triangle.

Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle

Geometry Problem 849
Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle.

Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle

Geometry Problem 848
Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle.

van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points

Geometry Problem 847
van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points.

Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity

Geometry Problem 846
Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 845
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 844
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity

Geometry Problem 843
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 842
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 841
Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity.

Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity

Geometry Problem 840
Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity.

Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations

Geometry Problem 839
Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations.

Parallelogram, Perpendicular, Diagonal, Metric Relations

Geometry Problem 838
Parallelogram, Perpendicular, Diagonal, Metric Relations.

Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points

Geometry Problem 837
Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points.

Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations

Geometry Problem 836
Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations.

Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines

Geometry Problem 835
Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines.

Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional

Geometry Problem 834
Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional.

Parallelogram, Diagonal, Similarity, Proportion

Geometry Problem 833
Parallelogram, Diagonal, Similarity, Proportion.

Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence

Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence.

Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations

Geometry Problem 829
Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations.

Geometry Problem Quadrilateral Midpoint

Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian.

Semicircle, Chord, Arc, Area

Geometry Problem 827: Brianchon Corollary
Circumscribed Hexagon, Tangency Points, Diagonal, Opposite Sides, Concurrent lines.

Brianchon's Theorem, Circumscribed Hexagon, Concurrent Diagonals

Geometry Problem 826: Brianchon's Theorem
Circumscribed Hexagon, Concurrent Diagonals.

Semicircle, Chord, Arc, Area

Geometry Problem 825.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Desargues' Theorem, Triangles in Perspective

Geometry Problem 824
Desargues' Theorem, Triangles in Perspective.

Tangent Circles, Diameter, Perpendicular, Triangle, Area, Tangency Point

Geometry Problem 823.
Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point.

Semicircle, Chord, Arc, Area

Geometry Problem 822.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Adams Circle

Geometry Problem 821.
Adams Circle.

Triangle, Angles, 30 Degrees

Geometry Problem 820.
Triangle, Cevian, Angles, 30 Degrees.

Quadrilateral, Triangle, Angles

Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees.

Square, Triangle, Angle

Geometry Problem 818.
Square, Triangle, Angle.

Two Circles, Tangent Lines

Geometry Problem 817.
Two circles, Tangent Lines, Circumscribed Quadrilaterals.

Tangential Quadrilateral: Pitot Theorem

Geometry Problem 816.
Tangential or Circumscribed Quadrilateral: Pitot Theorem.

Triangle, Incircle, Arbelos, Area

Geometry Problem 815.
Triangle, Incircle, Semicircles, Arbelos, Area.

Equilateral triangles, a common vertex

Geometry Problem 814.
Two Equilateral Triangles with a common Vertex, Angle.

Right triangle, Excircles, Area

Geometry Problem 813.
Right Triangle Area, Excircles, Cathetus, Tangency Points, Quadrilateral Area.

Circle Area, Tangent 

Geometry Problem 812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers.

Trisecting a line segment, 4 circles

Geometry Problem 811: Trisecting a line segment.
With four circles and one line.

Trisecting a line segment, 2 circles

Geometry Problem 810: Trisecting a line segment.
With two circles and eight lines.

Trisecting a segment with three circles

Geometry Problem 809: Trisecting a line segment.
With three circles and four lines.

Parallelogram, Perpendicular, Semicircle, Area

Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter.

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