Online Geometry Education

Go Geometry Problems Collection from 801 to 900. Online College, High School

Problems 801 -900

Problem 801
Equilateral Triangles, Cevian, Midpoint, Distance, Measurement, Metric Relations.

Problem 802
Scalene Triangle, Median, Perpendicular, Angle, Measurement.

Problem 803
Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement.

Problem 805
Circle, Chord, Midpoints.

Problem 805, Stewart Theorem Triangle, sides and a cevian.

Problem 806
Triangle, Points on sides, Circumcenter, Similarity.

Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area.

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

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

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

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

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

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

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

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

Problem 816.
Tangential or Circumscribed Quadrilateral: Pitot Theorem.

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

Problem 818.
Square, Triangle, Angle.

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

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

Problem 821. Adams Circle.

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

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

Problem 824
Desargues' Theorem, Triangles in Perspective.

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

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

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

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

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

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

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

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

Problem 833
Parallelogram, Diagonal, Similarity, Proportion.

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

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

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

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

Problem 838
Parallelogram, Perpendicular, Diagonal, Metric Relations.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Problem 881
Triangle, three Squares, Centers, Areas.

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

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

Problem 885
Intersecting Circles, Three Tangent Lines, Midpoint.

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

Problem 887 Triangle, Altitude, Angle Bisector, Perpendicular, Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets.
 
Problem 888
Butterfly Theorem, Circle, Chord, Midpoint. GeoGebra, HTML5 Animation for Tablets.

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

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

Problem 891 Equiangular Octagon, Metric Relations, Sides, Auxiliary Lines.

Problem 892
Triangle, 60 degrees, Orthocenter, Circumcenter.

Problem 893
Triangle, Circumcircle, Incenter, Circle, Tangent, Collinear Points. GeoGebra, HTML5 Animation for Tablets.

Problem 894
Triangle, Angle, 60 degrees, Incenter, Midpoint, Parallel Lines. GeoGebra, HTML5 Animation for Tablets.

Problem 895
Triangle, Incircle, Tangency Points, Parallel line, Collinear Points. GeoGebra, HTML5 Animation for Tablets.

Problem 896 Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets.

Problem 897
Intersecting Circles, Common External Tangent, Secant, Congruence. GeoGebra, HTML5 Animation for Tablets.

Problem 898
Intersecting Circles, Common External Tangent, Secant, Circumcenter, Collinear Points. GeoGebra, HTML5 Animation for Tablets

Problem 899
Intersecting Circles, Common External Tangent, Secant, Concyclic Points, Cyclic Quadrilateral. GeoGebra, HTML5 Animation for Tablets

Problem 900 Intersecting Circles, Common External Tangent, Secant, Angle, Congruence. GeoGebra, HTML5 Animation for Tablets

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