Geometry Problem
701.
Intersecting Circles, Diameter, Perpendicular, Angles, Congruence.
Geometry Problem
702.
Intersecting Circles, Diameter, Perpendicular, Angles, Congruence,
Concyclic Points.
Geometry Problem
703.
Triangle, Incircle, Tangency point, Diameter, Congruence.
Geometry Problem
704.
Triangle, Orthocenter, Altitude, Midpoint, Perpendicular.
Geometry Problem
705.
Intersecting Circles, Diameter, Angles, Measurement.
Geometry Problem
706.
Triangle, Cevian, Three Circumcenters, Circumcircles, Concyclic Points, Cyclic quadrilateral.
Geometry Problem
707.
Triangle, Excenters, Angle Bisectors, Angle, Measurement.
Geometry Problem
708.
Circle, Tangent, Intersecting, Lune, Area, Diameter.
Geometry Problem
709.
Parallelogram, Midpoint, Diagonal, Metric Relations, Triangle.
Geometry Problem
710.
Parallelogram, Midpoint, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence.
Geometry Problem
711.
Rectangle, Midpoint, Angle, Concyclic Points, Cyclic Quadrilateral.
Geometry Problem
712.
Semicircle, Diameter, Tangent, Perpendicular, Angle Measure.
Geometry Problem
713.
Tangent Circles, Diameter, Chord, Tangent, Incenter, Incircle, Triangle.
Geometry Problem
714.
Triangle, Parallel, Cevians, Midpoints, Median, Ceva Theorem.
Geometry Problem
715.
Triangle, Altitudes, Parallel, Circumcircle, Angle, Measurement.
Geometry Problem
716.
Problem 716. Intersecting Circles, Center, Radius, Perpendicular, 90 Degrees.
Geometry Problem
717.
Intersecting Circles, Midpoint, Angle, Measurement.
Geometry Problem
718.
Intersecting Circles, Midpoint, Angle, Measurement.
Geometry Problem
719.
Incenter, Intersecting Circles, Angle, Measurement.
Geometry Problem
720.
Excenter, Intersecting Circles, Angle, Measurement.
Geometry Problem
721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear points.
Geometry Problem
722.
Squares, Circumscribed Circles, Collinear points.
Geometry Problem
723.
Squares, Circumscribed Circles, Collinear points.
Geometry Problem
724.
Circumscribed Quadrilateral, Circle, Angle, Incenter, Half
the Measure.
Geometry Problem
725.
Kurschak's Dodecagon, Square, Equilateral Triangle, Midpoints, 30, 60 Degrees.
Geometry Problem
726.
Isosceles Triangle, Perpendicular, Midpoint, 90 Degrees.
Geometry Problem
727.
Triangle, Isosceles, Congruence, Angles, Measurement.
Geometry Problem
728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency.
Geometry Problem
729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular, Midpoint.
Geometry Problem
730.
Triangle, Altitude, Orthocenter, Perpendicular, Concurrent Lines.
Geometry Problem
731.
Cyclic quadrilateral, Triangle, Orthocenter, Altitude, Perpendicular, Parallelogram.
Geometry Problem
732.
Triangle, Altitude, Orthic Triangle, Orthocenter, Congruence, Parallelogram.
Geometry Problem
733.
Triangle, Orthocenter, Altitude, Reflection in a line, Circumcircle, Concurrency.
Geometry Problem
734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence, Midpoint.
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Geometry Problem
735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence.
Geometry Problem
736.
Triangle, Altitude, Perpendicular, Angles, Cyclic Quadrilateral.
Geometry Problem
737.
Cyclic Quadrilateral, Circumscribed Circle, Diameter, Tangent, Perpendicular.
Geometry Problem
738.
Intersecting Circles, External Common Tangent, Common Chord, Secant, Circumcircle, Cyclic Quadrilateral, Concyclic Points.
Geometry Problem
739.
Triangle, Double Angle, External Angle Bisector. Congruence.
Geometry Problem
740.
Scalene Triangle, Angle, Semi-sum, Cevian, Isosceles Triangle.
Geometry Problem
741.
Scalene Triangle, Incenter, Circumcircle, Midpoint, Arc, Congruence.
Geometry Problem
742.
Scalene Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint, Distance, Square, Metric Relations.
Geometry Problem
743.
Trapezoid, Triangle, Perpendicular, Parallel, Angle.
Geometry Problem
744.
Parallelogram, Circle, Diameter, Chord, Congruence, Triangle, Metric Relations.
Geometry Problem
745.
Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric Relations.
Geometry Problem
746.
Triangle, Cevian, Parallel, Similarity, Harmonic Mean, Metric Relations.
Geometry Problem
747.
Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity, Harmonic Mean, Metric Relations.
Geometry Problem
748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Metric Relations.
Geometry Problem
749.
Triangle, Rhombus, Parallel, Harmonic Means, Metric Relations.
Geometry Problem
750.
Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity, Metric Relations.
Geometry Problem
751.
Parallelogram, Congruence, Intersecting Lines, Angle Bisector.
Geometry Problem
752.
Square, Circle, Tangent, Chord, Angle.
Geometry Problem
753.
Triangle, Altitudes, Orthocenter, Sum of ratios.
Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter.
Geometry Problem 755.
Equilateral Triangle, Circumcircle, Chord, Arc, Midpoints, Perpendicular.
Geometry Problem 756.
Four Circles Theorem, TracenPoche Interactive Dynamic Software.
Geometry Problem 757
Equilateral Triangle, Circumcircle, Chords, a Half of Harmonic Mean.
Geometry Problem 758
Equilateral Triangle, Cevians, Trisection of sides, Congruence, Perpendicular, 90 Degrees.
Geometry Problem 759
Equilateral Triangle, Transversal, Trisection of sides, Congruence, Angle.
Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle.
Geometry Problem 762
Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles
triangle.
Geometry Problem 763
Parallelogram, Diagonal, Parallel, Congruence.
Geometry Problem 764
Triangle, Inradius, Altitudes, Harmonic Mean.
Geometry Problem 765
Triangle, Inradius, Exradii, Three Exradius, Harmonic Mean.
Geometry Problem 766
Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean.
Geometry Problem 767
Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant.
Geometry Problem 768
Parallelogram with Equilateral Triangles on Sides.
Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence.
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Geometry Problem 770
Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement.
Geometry Problem 771
Area of a Parallelogram, Star, Pentagon, Triangles.
Geometry Problem 772
Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations.
Geometry Problem 773
Intersecting Circles, Midpoint, Secant line, Bisection.
Geometry Problem 774
Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel.
Geometry Problem 775
Triangle, Isogonal lines, Congruent angles, Perpendicular, Metric Relations.
Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint.
Geometry Problem 777
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine.
Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.
Geometry Problem 779
Triangle, Altitude, Orthocenter, Midpoint, Angle, 90 Degrees.
Geometry Problem 780
Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices.
Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint,
Perpendicular
Geometry Problem 782
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram.
Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint.
Geometry Problem 784
Triangle, Orthocenter, Midpoint of a side, Perpendicular.
Geometry Problem 785
Equilateral
Triangle, Parallel, Perpendicular.
Geometry Problem 786
Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio, Metric relations.
Geometry Problem 787
Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations.
Geometry Problem 788
Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral.
Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line.
Geometry Problem 790
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence.
Geometry Problem 791
Regular Hexagon, Midpoints of Side and Diagonal, Equilateral Triangle, Area.
Geometry Problem 792
Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles.
Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance.
Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.
Geometry Problem 795
Intersecting Circles, Common Chord, Midpoint, Tangent, Secant Line, Perpendicular, 90 Degrees.
Geometry Problem 796
Triangle, Altitude, Measurement of Angles.
Geometry Problem 797
Parallelogram, Angle Bisector, Isosceles and Similar Triangles.
Geometry Problem 798
Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle.
Geometry Problem 799
Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter.
Problem
800: de Gua's Theorem
Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area.
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