Online Geometry Problems, Level: Mathematics Education, High School, College
NCTM Processes: Problem Solving, Reasoning & Proof, Communications, Connections, and Representation

Geometry Problems - Page 2 of 40

Open Geometry Problems
Index

Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line.

Geometry Problem 788
Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral.

Geometry Problem 787
Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations.

Geometry Problem 786
Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio, Metric relations.

Geometry Problem 785
Equilateral Triangle, Parallel, Perpendicular.

Geometry Problem 784
Triangle, Orthocenter, Altitude, Midpoint of a side, Perpendicular.

Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint.

Geometry Problem 782
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram.

Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular.

Geometry Problem 780
Acute Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices.

Geometry Problem 779
Triangle, Altitude, Orthocenter, Midpoint, Angle, 90 Degrees.

Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Geometry Problem 777
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine.

Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint.

Geometry Problem 775
Triangle, Isogonal lines, Congruent angles, Perpendicular, Metric Relations.

Geometry Problem 774
Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel.

Geometry Problem 773
Intersecting Circles, Midpoint, Secant line, Bisection.

Geometry Problem 772
Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations.

Geometry Problem 771
Area of a Parallelogram, Star, Pentagon, Triangles.

Geometry Problem 770
Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement.

Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence.

Geometry Problem 768
Parallelogram with Equilateral Triangles on Sides.

Geometry Problem 767
Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant.

Geometry Problem 766
Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean.

Geometry Problem 765
Triangle, Inradius, Exradii, Three Exradius, Harmonic Mean.

Geometry Problem 764
Triangle, Inradius, Altitudes, Harmonic Mean.

Geometry Problem 763
Parallelogram, Diagonal, Parallel, Congruence.

Geometry Problem 762
Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle.

Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle.

Geometry Problem 760
Isosceles Triangle, Circle, Diameter, Altitude, Chord, Metric relations.

Geometry Problem 759
Equilateral Triangle, Transversal, Trisection of sides, Congruence, Angle.

Geometry Problem 758
Equilateral Triangle, Cevians, Trisection of sides, Congruence, Perpendicular, 90 Degrees.

Geometry Problem 757
Equilateral Triangle, Circumcircle, Chords, a Half of Harmonic Mean.

Geometry Problem 756: Four Circles Theorem
Using TracenPoche Interactive Dynamic Software.
Step-by-Step construction, Manipulation, and animation.

Geometry Problem 755.
Equilateral Triangle, Circumcircle, Chord, Arc, Midpoints, Perpendicular.

Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter.

Geometry Problem 753.
Triangle, Altitudes, Orthocenter, Sum of ratios.

Geometry Problem 752.
Square, Circle, Tangent, Chord, Angle.

Geometry Problem 751.
Parallelogram, Congruence, Intersecting Lines, Angle Bisector.

Geometry Problem 750.
Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity, Metric Relations.

Geometry Problem 749.
Triangle, Rhombus, Parallel, Harmonic Means, Metric Relations.

Geometry Problem 748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Metric Relations.

Geometry Problem 747.
Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity, Harmonic Mean, Metric Relations.

Geometry Problem 746.
Triangle, Cevian, Parallel, Similarity, Harmonic Mean, Metric Relations.

Geometry Problem 745.
Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric Relations.

Geometry Problem 744.
Parallelogram, Circle, Diameter, Chord, Congruence, Triangle, Metric Relations.

Geometry Problem 743.
Trapezoid, Triangle, Perpendicular, Parallel, Angle

Geometry Problem 742.
Scalene Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint, Distance, Square, Metric Relations.

Geometry Problem 741.
Scalene Triangle, Incenter, Circumcircle, Midpoint, Arc, Congruence.

Geometry Problem 740.
Scalene Triangle, Angle, Semi-sum, Cevian, Isosceles Triangle.

Triangle with Double Angle, Theorems and Problems, Index
 

Geometry Problem 738.
Intersecting Circles, External Common Tangent, Common Chord, Secant, Circumcircle, Cyclic Quadrilateral, Concyclic Points.

Intersection of a Line with a Circle
 

Geometry Problem 737.
Cyclic Quadrilateral, Circumscribed Circle, Diameter, Tangent, Perpendicular.

Open Geometry Problems
Index

Geometry Problem 736.
Triangle, Altitude, Perpendicular, Angles, Cyclic Quadrilateral.

Geometry Problem 735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence.

Geometry Problem 734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence, Midpoint.

Geometry Problem 733.
Triangle, Orthocenter, Altitude, Reflection in a line, Circumcircle, Concurrency.

Geometry Problem 732.
Triangle, Altitude, Orthic Triangle, Orthocenter, Congruence, Parallelogram.

Geometry Problem 731.
Cyclic quadrilateral, Triangle, Orthocenter, Altitude, Perpendicular, Parallelogram.

Geometry Problem 730.
Triangle, Altitude, Orthocenter, Perpendicular, Concurrent Lines.

Geometry Problem 729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular, Midpoint.

Geometry Problem 728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency.

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