College Geometry Online, eLearning

Online Geometry: Parallel Lines, Theorems and Problems

 

Parallel Lines, Page 3

Parallel Lines Index

Geometry Problem 990

Geometry Problem 990.
Triangle, Incircle, Median, Cevian, Central Angle, Congruence, Circle, Secant, Midpoint, Parallel.

Geometry Problem 987

Geometry Problem 987.
Triangle, Circumcircle, Incenter, Chord, Parallel, Circle, Tangent. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).

Geometry Problem 980

Geometry Problem 980.
Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Construction.

Geometry Problem 973

Geometry Problem 973.
Three Parallel, Square, Vertices, Distance Between Two Parallel Lines, Side, Metric Relations.

Geometry Problem 972

Geometry Problem 972.
Equilateral Triangle, Vertices, Three Parallel, Equal Circles, Perpendicular Bisector.

Geometry Problem 951

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

Geometry Problem 947

Geometry Problem 947.
Triangle, Circumcircle, Angle Bisector, Chord, Arc, Parallel.

Geometry Problem 946

Geometry Problem 946.
Triangle, Quadrilateral, Area, Diagonal, Midpoint, Parallel.

Geometry Problem 944

Geometry Problem 944.
Triangle, Orthocenter, Altitude, Perpendicular, 90 Degrees, Parallel Lines.

Geometry Problem 943

Geometry Problem 943.
Triangle, Incircle, Inscribed Circle, Tangency Points, Parallel, Metric Relations.

Problem 940

Geometry Problem 940.
Circle, Tangent, Secant, Chord, Parallel, Perpendicular, 90 Degrees, Midpoint.

Problem 939

Geometry Problem 939.
Circle, Tangent, Secant, Chord, Parallel, Midpoint.

Problem 925

Geometry Problem 925.
Cyclic Quadrilateral, Diagonal, Circle, Angle Bisector, Parallel.

Problem 919

Geometry Problem 919.
Rhombus, Triangle, Perpendicular, 90 Degrees, Congruence.

Problem 914

Geometry Problem 914.
Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint.

Geometry Problem 895

Geometry Problem 895
Triangle, Incircle, Tangency Points, Parallel line, Collinear Points.
GeoGebra, HTML5 Animation for Tablets

Geometry Problem 894

Geometry Problem 894
Triangle, Angle, 60 degrees, Incenter, Midpoint, Parallel Lines.
GeoGebra, HTML5 Animation for Tablets

Geometry problem 865, Parallelogram, Midpoint, Parallel

Geometry Problem 865
Parallelogram, Diagonal, Midpoint, Side, Triangle, Parallel, Similarity.

Isolines: Adinkra Symbol Nea Onnim

Geometric Art: Isolines, Adinkra Symbol, Nea Onnim No Sua a Ohu, Knowledge, Learning, Parallel Lines

Circumscribed trapezoid, Inscribed Circle, Tangent

Geometry Problem 863
Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations.

Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square

Geometry Problem 862:
Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square
.

Triangle, Incircle, Parallel, Tangent, Metric Relations

Geometry Problem 861
Triangle, Incircle, Parallel, Tangent, Metric Relations.

Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence

Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence.

Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations

Geometry Problem 829
Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations.

Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines

Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines.

Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter

Geometry Problem 799
Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter.

Parallelogram, Secant Line, Tangent Circles, Triangle

Geometry Problem 798
Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle.

Parallelogram, Angle Bisector

Geometry Problem 797
Parallelogram, Angle Bisector, Isosceles and Similar Triangles.

Equilateral Triangle, Parallel, Perpendicular

Geometry Problem 785
Equilateral Triangle, Parallel, Perpendicular.

Triangle, Two Altitudes, Circumcircle, Tangent, Parallel

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

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

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

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.

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.

Triangle, Rhombus, Harmonic Mean, 90 Degrees, Perpendicular

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

Triangle, Parallel, Collinear points

Proposed Problem 391.
Triangle, Parallel lines, Collinear points.

Triangle, Parallel, Collinear points

Proposed Problem 390.
Triangle, Parallel lines, Collinear points.

Triangle, Parallel, Harmonic Mean

Proposed Problem 389.
Triangle, Parallel lines, Harmonic Mean.

Triangle, Angle bisector, Perpendicular, Parallel

Proposed Problem 388.
Triangle, Angle bisector, Perpendicular, Parallel.

Triangle, Angle bisectors

Proposed Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter, Congruence.

Triangle, Angle bisectors

Proposed Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.

Triangle, Angle bisectors

Proposed Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter.

Triangle, Excenter, Parallel

Proposed Problem 380.
Triangle, Excenter, Parallel to a side, Angle, Congruence.

Triangle, Excenter, Parallel

Proposed Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence.

Triangle, Incenter, Parallel to a side

Proposed Problem 378.
Triangle, Incenter, Parallel to a side, Angle, Congruence.

Isosceles Trapezoid, Concyclic Points

Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points.

Triangle, Incircle, Parallel, Midpoint

Proposed Problem 328.
Triangle, Incircle, Tangency Points, Parallel, Midpoint.

Circular Segments, Inscribed Squares

Proposed Problem 316.
Circular segments and Inscribed Squares.
Parallel lines.

Circle, Chord, Tangent, Perpendicular

Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean.
Parallel lines.

Inscribed Quadrilateral

Proposed Problem 293.
Inscribed Quadrilateral, Perpendicular, Rectangle, Isosceles Right triangle, Area, Similarity, Parallel lines.

Triangle, Parallel, Congruence, Similarity

Proposed Problem 292.
Triangle, Parallel, Congruence, Similarity.

Archimedes' Book of Lemmas Proposition 1.
Tangent circles and parallel diameters 

Archimedes' Book of Lemmas Proposition 10
Tangents to a circle, secant line and chords,
Parallel lines.

Archimedes' Book of Lemmas Proposition 13
Circle, Diameter, Chord, Perpendicular, Congruence
, Parallel lines.

Hyperbolic Tessellation and Geometric Art.
Hyperbolic geometry is a non-Euclidean geometry in which it is assumed that through any point there are two or more parallel lines that do not intersect a given line in the plane. 

Triangle, Parallel, Congruence, Similarity

Proposed Problem 292.
Triangle, Parallel lines, Congruence, Similarity.

Euclid Elements Book X, Lemma for Proposition 33

Euclid's Elements, Book X, Lemma for Proposition 33
One page visual illustration.
Parallel lines.

Chartres Cathedral

Engineering the Impossible: Chartres Cathedral
Circle, Square, Triangle, Parallel lines.

Quadrilateral, Perpendicular, Squares, Area

Proposed Problem 280.
Quadrilateral, Perpendiculars, , Parallel lines, Area of Squares.

IC 4406 Square Nebula, NASA

IC 4406: A Seemingly Square Nebula,
Evidence indicates that IC 4406 is likely a hollow cylinder, with its square appearance the result of our vantage point in viewing the cylinder from the side.
Credit: C. R. O'Dell (Vanderbilt U.) et al., Hubble Heritage Team, NASA.
Parallel lines.

Piet Mondrain, New York City

Piet Mondrian, New York City 1941-42 and the Golden Rectangle.
Index.
Parallel lines.

Piet Mondrian, Lozenge

Piet Mondrian, Lozenge Composition with Red, Black, Blue, and Yellow 1925,
Pioneer of Geometric abstraction.

Problem 273 Triangle and Squares

Proposed Problem 273.
Triangle, Perpendiculars, Parallel lines, Area of Squares.

Rectangle, Isosceles Right Triangle, Square, Area

Proposed Problem 252.
Rectangle, isosceles right triangle, square, area.

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Last updated: Oct 28, 2015