Machu Picchu, Geometry Theorems and Problems, Online Education

Geometry Theorems and Problems - Recent Additions (Page 6 of 15)

Euclidean Geometry

Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral

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

Right Triangle, Altitude, Incircle Index

Right triangle, Altitude, Incircle
Right Triangle, Altitude to the Hypotenuse, Incircle, Incenter, Inradius, Angle Bisector, Theorems and Problems, Index.

Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations

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

Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio

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

Equilateral Triangle, Parallel, Perpendicular

Geometry Problem 785
Equilateral Triangle, Parallel, Perpendicular.

Triangle, Orthocenter, Midpoint

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

Triangle, Orthocenter, Circumcircle, Diameter, Midpoint

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

Triangle, Orthocenter, Circumcircle, Diameter, Altitude, Parallelogram

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

Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular

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

Isogonal Lines

Isogonal Lines.
Theorems and Problems.

Triangle, Orthocenter, Inradius, Circumradius

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

Triangle, Orthocenter, Midpoint, 90 Degrees

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

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

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

Triangle, Distance from the Orthocenter, Vertex, Circle, Circumradius, Cosine

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

Triangle, Isogonal lines, Congruent angles, Perpendicular

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

Triangle, Isogonal lines, Congruent angles, Perpendicular

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

Triangle, Two Altitudes, Circumcircle, Tangent, Parallel

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

Intersecting Circles, Midpoint, Secant, Bisection

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

Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations

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

Parallelogram, Star, Pentagon, Area

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

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

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

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

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

Parallelogram with wquilateral triangles

Geometry Problem 768
Parallelogram with Equilateral Triangles on Sides.

Equilateral triangle, Circle, Tangent

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

Triangle, Inradius, Exradii, Harmonic Mean

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

Triangle, Inradius, Exradii, Harmonic Mean

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

Triangle, Inradius, Altitudes, Harmonic Mean

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

Parallelogram, Diagonal, Parallel, Congruence

Geometry Problem 763
Parallelogram, Diagonal, Parallel, Congruence.

Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle

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

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.

Isosceles Triangle, Circle, Diameter, Altitude, Chord

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

Equilateral Triangle,Trisection, Cevian, Perpendicular

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

Equilateral Triangle,Trisection, Cevian, Perpendicular

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

Equilateral Triangle, Circumcircle, Chord, Harmonic Mean

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

iPad App Apollonius Interactive Geometry Software, Four Circles

iPad Apps: Apollonius Software. Four Circles Theorem.
Interactive Geometry Software

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, Midpoint

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

Equilateral triangle, Perimeter

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

Trisngle, Orthocenter, Ratio

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

Square, Circle, Angle

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

Parallelogram, COngruence, Angle Bisector

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

Complete Quadrilateral, Triangle, Diagonal, Parallel, Similarity

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

Geometry problems 741-750

Geometry Problems 741 - 750.
Triangle, Circle, Quadrilateral, Parallelogram, Trapezoid, Incenter, Circumradius, Parallel, Perpendicular, Orthocenter, Centroid, Similarity, Congruence.

Triangle, Rhombus, Harmonic Mean, 90 Degrees, Perpendicular

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

Quadrilateral, 90 Degrees, Perpendicular

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

Trapezoid, Parallel, Harmonic Mean

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

Triangle, Parallel, Similarity, Harmonic Mean

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

Circle, Chord, Congruence, 90 Degrees

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

Parallelogram, Circle, Chord

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

Harmonic Mean

Harmonic Mean.

Trapezoid, Triangle, Perpendicular, Angle

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

Parallel Chords, Congruent Arcs

Parallel Chords. Index.
Theorems and Problems.

Triangle, Orthocenter, Centroid, Circumcenter, Circumradius, Midpoint

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

Triangle, Incenter, Circumcircle

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

Stadiums by Capacity and Geometry

Top Stadiums in the World by Capacity.

Scalene, Isosceles Triangle, Angles

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

Triangle with Double Angle

Triangle with Double Angle, Theorems and Problems, Index
 

Triangle, Double Angle

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

Common chord to two circles

Common Chord to two circles.
Theorems and Problems.

Intersecting Circles, Concyclic points

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

Circle Inscribed in a Square

Circle Inscribed in a Square, Theorems and Problems. Index.

Geometry problems 731-740

Geometry Problems 731 - 740.
Triangle, Circle, Quadrilateral, Parallelogram, Circumcircle, Angle Bisector, Semi-sum, Isosceles, Orthocenter, Orthic, Perpendicular, Altitude, Congruence.

Cyclic quadrilateral, tangent, perpendicular

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

Tangent Line to a Circle

Circle Tangent Line. Index.
Theorems and Problems.
 

Triangle, Altitude, Angle, geometry problem

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

Stadiums by Capacity and Geometry

Top Stadiums in the World by Capacity.

Orthic triangle, geometry problem

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

Perpendicular Chords

Perpendicular Chords. Index.
Theorems and Problems.

Triangle, Median, Isosceles, Congruence, Parallel

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

Triangle, Orthocenter, Line Reflection, Concurrency

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

Orthic triangle, Orthocenter, Congruence

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

Cyclic quadrilateral, Orthocenter, Parallelogram

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

Triangle, Altitude, Perpendicular, Concurrent

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

Triangle, Orthocenter, Circumcircle

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

Triangle, Circle, Concurrency

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

Triangle, Angles

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

Isosceles Triangle, Perpendicular, Midpoint

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

Kurschak Dodecagon

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

Circumscribed Quadrilateral, Angles

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

Squares, Circles, Collinear

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

Squares, Circles, Collinear

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

Triangle, Orthocenter, Circumcircle, Collinear

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

Excenter, Intersecting circles

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

Incenter, Intersecting circles

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

Intersecting circles

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

Intersecting circles

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

Intersecting circles

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

Area Parallelogram Index

Area of a Parallelogram.
Theorems and Problems Index.

Triangle, Altitudes, Parallel, Circumcircle, Angle

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

Triangle, Parallel, Concurrent, Ceva, Midpoint

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

Tangent Circles, Incenter, Chord

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

Semicircles, Tangent, Perpendicular, Angle

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

Rectangle, Midpoint, Concyclic points

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

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

Geometry Problem 710.
Parallelogram, Midpoint, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence.

Problem solving techniques, mind map

Problem Solving Techniques, Interactive Mind Map.

Parallelogram, Midpoints, Diagonal

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

Circle, Area, Tangent, Intersecting, Lune

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

Triangle, Excenter, Angle

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

Triangle, 3 Circumcenters, Concyclic, Cyclic quadrilateral

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

Intersecting Circles, Diameter

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

Orthocenter, triangle, midpoint, perpendicular

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

Triangle, Incircle, Diameter

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

Trianglr, Circumcicle, Concyclic

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

Intersecting Circles, Diameter, Perpendicular

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

Concyclic Points

Concyclic Points.
 

Equilateral triangle, Circle

Geometry Problem 700.
Equilateral Triangle, Circle, Circular Segment, Midpoint of a side, Metric Relations.

Equilateral triangle, Circle

Geometry Problem 699.
Equilateral Triangle, Circle, Circular Segment, Midpoint, Metric Relations.

Go to Page: Previous | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | Next

 

 

Home | SearchGeometry | Email | By Antonio Gutierrez