Geometry Problems: High School, College

Geometry Problems 701-800

 

Geometry Problems 701-800

Online education degree: Open geometry problems

Open Geometry Problems - Index

Intersecting Circles, Diameter, Perpendicular

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

Trianglr, Circumcicle, Concyclic

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

Triangle, Incircle, Diameter

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

Orthocenter, triangle, midpoint, perpendicular

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

Intersecting Circles, Diameter

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

Triangle, 3 Circumcenters, Concyclic, Cyclic quadrilateral

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

Triangle, Excenter, Angle

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

Circle, Area, Tangent, Intersecting, Lune

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

Parallelogram, Midpoints, Diagonal

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

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

Geometry Problem 710.

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

Rectangle, Midpoint, Concyclic points

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

Semicircles, Tangent, Perpendicular, Angle

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

Tangent Circles, Incenter, Chord

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

Triangle, Parallel, Concurrent, Ceva, Midpoint

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

Triangle, Altitudes, Parallel, Circumcircle, Angle

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

Intersecting circles

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

Intersecting circles

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

Intersecting circles

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

Incenter, Intersecting circles

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

Excenter, Intersecting circles

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

Triangle, Orthocenter, Circumcircle, Collinear

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

Squares, Circles, Collinear

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

Squares, Circles, Collinear

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

Circumscribed Quadrilateral, Angles

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

Kurschak Dodecagon

Geometry Problem 725.
Kurschak's Dodecagon, Square, Equilateral Triangle, Midpoints, 30, 60 Degrees.

Isosceles Triangle, Perpendicular, Midpoint

Geometry Problem 726.
Isosceles Triangle, Perpendicular, Midpoint, 90 Degrees.

Triangle, Angles

Geometry Problem 727.
Triangle, Isosceles, Congruence, Angles, Measurement.

Triangle, Circle, Concurrency

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

Triangle, Orthocenter, Circumcircle

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

Triangle, Altitude, Perpendicular, Concurrent

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

Cyclic quadrilateral, Orthocenter, Parallelogram

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

Orthic triangle, Orthocenter, Congruence

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

Triangle, Orthocenter, Line Reflection, Concurrency

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

Triangle, Median, Isosceles, Congruence, Parallel

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

Orthic triangle, geometry problem

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

Triangle, Altitude, Angle, geometry problem

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

Cyclic quadrilateral, tangent, perpendicular

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

Intersecting Circles, Concyclic points

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

Triangle, Double Angle

Geometry Problem 739.
Triangle, Double Angle, External Angle Bisector. Congruence.

Scalene, Isosceles Triangle, Angles

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

Triangle, Incenter, Circumcircle

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

Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint

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

Trapezoid, Triangle, Perpendicular, Angle

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

Parallelogram, Circle, Chord

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

Circle, Chord, Congruence, 90 Degrees

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

Triangle, Parallel, Similarity, Harmonic Mean

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

Trapezoid, Parallel, Harmonic Mean

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

Quadrilateral, 90 Degrees, Perpendicular

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

Triangle, Rhombus, Harmonic Mean, 90 Degrees, Perpendicular

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

Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity

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

Parallelogram, COngruence, Angle Bisector

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

Square, Circle, Angle

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

Trisngle, Orthocenter, Ratio

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

Equilateral triangle, Perimeter

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

Equilateral triangle, Circumcircle, Midpoint

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

Four Circles Theorem. TracenPoche

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

Equilateral Triangle, Circumcircle, Chord, Harmonic Mean

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

Equilateral Triangle,Trisection, Cevian, Perpendicular

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

Equilateral Triangle,Trisection, Cevian, Perpendicular

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

Isosceles Triangle, Circle, Diameter, Altitude, Chord

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

Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle

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

Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle

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

Parallelogram, Diagonal, Parallel, Congruence

Geometry Problem 763
Parallelogram, Diagonal, Parallel, Congruence.

Triangle, Inradius, Altitudes, Harmonic Mean

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

Triangle, Inradius, Exradii, Harmonic Mean

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

Triangle, Inradius, Exradii, Harmonic Mean

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

Equilateral triangle, Circle, Tangent

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

Parallelogram with wquilateral triangles

Geometry Problem 768
Parallelogram with Equilateral Triangles on Sides.

Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence

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

Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence

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

Parallelogram, Star, Pentagon, Area

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




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