

Plane Geometry:
Parallelogram Theorems and
Problems. Page 3

Parallelogram, Theorems and
Problems  3




Problem 471.
Triangle, Parallel, Side, Concurrency, Area, Similarity. 

Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. 

Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency,
Congruence. 

Proposed Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence. 

Proposed
Problem 398.
Parallelogram, Area, Similarity, Congruence. 

Proposed Problem 397.
Triangle, Altitude, Midpoints, Congruence. 

Proposed Problem 396.
Square, Angle Trisectors, Congruence, Area. 

Proposed Problem 395.
Square, 15 Degree, Equilateral triangle. 

Proposed Problem 365.
Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence. 

Proposed Problem 359.
Cyclic quadrilateral, Angle bisector, Rhombus. 

Proposed Problem 354.
Rhombus, Square, 45 degrees. 

Proposed Problem 351.
Rhombus, Incircles, Common tangent, Circumscribable or Tangential
quadrilateral. 

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

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

Proposed Problem 251.
Parallelogram, sides, diagonals, squares, areas.


Proposed Problem 245. Parallelogram with Equilateral triangles


Proposed Problem 244. Square, Diagonals, Centers, Distance.


Proposed Problem 243. Triangle with Equilateral triangles,
Parallelogram.


Proposed Problem 242. Triangle with Equilateral triangles,
Parallelogram.


Proposed Problem 240. Triangle with Equilateral triangles,
Parallelogram.


Proposed Problem 239. Square, Midpoints, Lines, Congruence,
Pythagoras.


Proposed Problem 238. Square, Midpoints, Lines, Congruence.


Proposed Problem 235. Parallelogram, Transversal line, Perpendicular
lines.


Proposed Problem 234. Parallelogram, Line through a vertex,
Perpendicular lines.


Proposed Problem 233. Parallelogram, Exterior line, Perpendicular
lines.


Proposed Problem 232. Parallelogram, Line through a vertex,
Perpendicular lines.


Proposed Problem 219. Rhombus, perpendiculars, arithmetic mean.


Archimedes Arbelos and Square 2.
Dynamic Geometry Software.
StepbyStep construction, Manipulation, and animation. 

Archimedes Arbelos and Square 1.
Dynamic Geometry Software.
StepbyStep construction, Manipulation, and animation. 


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