

Plane Geometry:
Parallelogram Theorems and
Problems. Page 4

Parallelogram, Theorems and
Problems  4




Proposed Problem 191. Triangle,
Altitudes, Orthocenter, Squares, Areas.


Proposed Problem
189. Squares, Distances. 

Proposed Problem 188. Square,
Diagonal, 45 Degrees Angle. 

Proposed Problem 179. Rhombus,
Square, Diagonal, Angle. 

Proposed Problem 177.
Parallelogram with Midpoints, Triangles, Areas. 

Proposed Problem 169.
Parallelogram, Interior and Exterior Points, Diagonals, Pentagon,
Triangles, Areas


Proposed Problem 168.
Parallelogram, Diagonal, Triangles, Pentagon, Areas.


Proposed Problem 167.
Parallelogram, Diagonal, Triangles, Areas.


Proposed Problem 166.
Parallelogram, Diagonal, Triangles, Areas.


Proposed Problem 165.
Parallelogram, Diagonal, Triangles, Areas.


Proposed Problem 164.
Parallelogram, Trapezoid, Diagonal, Triangles, Areas.


Proposed Problem 162.
Parallelogram, Triangles, Areas.


Proposed Problem 161.
Parallelogram, Midpoints, Octagon, Areas.


Proposed Problem 146. Varignon's
Theorem: Quadrilateral, Midpoints, Parallelogram, Area, Perimeter. 

Proposed Problem 137.
Orthic Triangle, Altitudes, Perpendicular, Incircle, Collinear Points,
Parallelogram. 

Triangle and Squares Theorem 1: with Interactive Geometry
Software
StepbyStep construction, Manipulation, and animation. 

Bottema's Theorem: Triangle and Squares with Interactive
Geometry Software
StepbyStep construction, Manipulation, and animation. 

Machu Picchu and Golden Rectangle.


Parallelogram Problem 96. Similar
Triangles, Incenters, Parallelogram. 

Parallelogram Problem 93. Similar
Triangles, Circumcircles, Parallelogram. 

Square
Proposed
Problem 76: Area of a Circle.
Square, Circle, Circular Sector. 

Proposed Problem 70: Squares inscribed in a triangle, Similarity.


Proposed Problem 69: Square inscribed in a triangle, Similarity.


Proposed Problem 62: Square
Diagonal, Inscribed Circle.



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