Plane Geometry: Diameters and Chords, Theorems and Problems

Online Geometry

Diameters and Chords, Theorems and Problems: Table of Content

Diameters and Chords on a Circle

Geometry problem 1343

Problem 1343.
Triangle, Excircles, Circle, Tangent, Tangency Points, Chord, Perpendicular, 90 Degrees, Collinearity. Machu Picchu in the background.

Geometry problem 1342

Problem 1342.
Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral.

Geometry problem 1321

Geometry Problem 1321.
Intersecting Circles, Diameter, Secant, Chord, Collinearity.

Geometry problem 1281

Geometry Problem 1281.
Triangle, Circle, Diameter, Tangent, Altitude, Congruent Angles.

Geometry problem 1261

Geometry Problem 1261.
Cyclic Quadrilateral, Circle, Diameter, Midpoint, Measurement.

Geometry problem 1259

Geometry Problem 1259.
Triangle, Circumcircle, Circle, Diameter, Parallel Lines.

Geometry problem 1251

Geometry Problem 1251.
Triangle, Circle, Diameter, Perpendicular, 90 Degrees.

Geometry problem 1250

Geometry Problem 1250.
Cyclic or Inscribed Quadrilateral, Circle, Diameter, Congruence.

Geometry problem 1191

Geometry Problem 1191
Circle, Chords, Diameter, Congruence, Midpoint, Collinearity, Bisector.

Geometry problem 1190

Geometry Problem 1190
Circle, Chords. Congruence.

Geometry problem 1181

Geometry Problem 1181
Cyclic Quadrilateral and Tangential Quadrilateral, Diameter as a Diagonal, Incenter, Circumcenter.

Geometry problem 1151

Geometry Problem 1151.
Circle, Diameter, Chord, Perpendicular, 90 Degrees, Metric Relations.

Geometry Problem 1090

Geometry Problem 1090.
Circle, Diameters, Chord, Perpendicular, Metric Relations.

Geometry Problem 1084

Geometry Problem 1084.
Circle, Chord, Radius, Diameter, Parallel lines, 45 Degrees, Metric Relations.

Geometry Problem 1083

Geometry Problem 1083.
Semicircle, Diameter, Perpendicular, 90 Degrees, Tangent Line, Metric Relations.

Geometry Problem 1071

Geometry Problem 1071.
Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, 90 Degrees, Midpoint.

Geometry Problem 1070

Geometry Problem 1070.
Circle, Chord, Equilateral Triangle, Square, Rectangle, Area, Diameter, Perpendicular.

Geometry Problem 1058

Geometry Problem 1058.
Triangle, Sum of the Areas, Altitude, Perpendicular, Circumcircle, Circle, Diameter.

Geometry Problem 1057

Geometry Problem 1057.
Triangle, Area, Circle with Perpendicular Diameters, Tangent, Secant.

Geometry Problem 1048

Geometry Problem 1048.
Circles, Tangent, Perpendicular, Diameter, Angle Bisector.

Geometry Problem 1033

Geometry Problem 1033.
Triangle, Angle Obtuse, Circumcircle, Diameter, Area.

Geometry Problem 1019

Geometry Problem 1019.
Circle, Diameter, Perpendicular, Chord, Tangent, Sum.

Geometry Problem 951

Geometry Problem 951.
Intersecting Circles, Chord, Diameter, Parallel, Cyclic Quadrilateral, Concyclic Points.

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, 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.

Isosceles Triangle, Circle, Diameter, Altitude, Chord

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

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.

Circle, Area, Tangent, Intersecting, Lune

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

Intersecting Circles, Diameter

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

Intersecting Circles, Diameter, Perpendicular

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

Concentric Circles

Geometry Problem 680.
Concentric Circles, Radii, Chords, Perpendicular, Metric Relations.

Circles, Diameter, Tangent, Metric Relations

Geometry Problem 676.
Circles, Diameter, Tangent, Chord, Metric Relations.

Tangent Circles, Geometric Mean

Geometry Problem 672.
Internally tangent circles, Chord, Tangent, Geometric Mean.

Triangle, Altitudes, Circles, Angles

Geometry Problem 658.
Triangle, Altitudes, Diameter, Circle, Angles.

Online Math: Geometry Problem 571, Circle

Problem 571.
Circle, Diameter, Chord, Perpendicular, Measurement.

Cyclic quadrilateral, Diagonal, Diameter

Problem 530.
Cyclic Quadrilateral, Diagonal, Diameter, Chord, Perpendicular, Congruence.

Right Trapezoid, Circle, Diameter

Problem 529.
Right Trapezoid, Circle, Diameter, Chord.

Circle, Tangent, Diameter, Radius, Congruence

Problem 525.
Circles, Diameter, Chord, Tangent, Radius, Congruence, Measurement.

Tangent Circles

Problem 523.
Tangent Circles, Diameter, Chord, Perpendicular, Collinearity.

Geometry Problem: Right triangle, Circle, Tangent

Problem 522.
Right Triangle, Circle, Diameter, Chord, Tangent.

Circle, Diameter, Chord, Perpendicular

Problem 500.
Circle, Diameter, Chord, Perpendicular, Measure.

Circle, Area, 90 Degrees

Problem 487.
Intersecting Circles, Area, Diameter and Chord, Parallel, 90 Degrees.

 Triangle, circle, angle, altitude

Problem 480.
Triangle, Circle, Center, Diameter, Chord, Altitude, Angle, Circumcenter.

Triangle, Sides, Circumradius

Problem 478.
Triangle, Sides, Circumradius, Circumcenter, Circumcircle, Diameter, Chord.

Three tangent circles

Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear, Diameters and Chords.

Tangent circles, diameter

Proposed Problem 448.
Tangent Circles, Diameter, Perpendicular, Chord.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 438.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement, Parallel lines.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 437.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Tangent Circles, Chords, Perpendiculars

Proposed Problem 436.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement.

Problem about square and inscribed circle

Proposed Problem 373.
Square, Inscribed Circle, Diagonal, Perpendicular, Angle, Diameters and Chords.

Triangle area, Circle, Curvilinear triangle

Proposed Problem 364.
Obtuse triangle, Congruence, Circles, Diameter, Chord, Curvilinear triangle, Area.

Circle and Inscribed Semicircle

Proposed Problem 333.
Circle inscribed in a semicircle, Perpendicular to the common tangent, Diameters and Chords.

Triangle, Altitudes, Concyclic Points

Proposed Problem 329.
Triangle, Altitudes, Circle, Diameter, Concyclic points, Diameters and Chords.

Circle inscribed in a semicircle

Proposed Problem 310.
Circle Inscribed in a Semicircle, 45 Degrees Angle, Diameters and Chords.

Right Triangle Circumcenter, Excenter

Proposed Problem 294.
Right triangle, Circumcenter, Excenter, Hypotenuse, Perpendicular, Diameters and Chords.

Cube of the external common tangent

Proposed Problem 272.
Tangent Circles, the Cube of the Common external tangent, Diameters and Chords.

Cube of the external common tangent

Proposed Problem 271.
Tangent Circles, the Cube of the Common external tangent, Diameters and Chords.

Elearning 190 tangent circles, chord, perpendicular

Proposed Problem 190. Tangent circles, Tangent chord, Perpendicular, Distance, Intersection of a Line with a Circle, Diameter.

 

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Last updated: Aug 19, 2017