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

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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