College Geometry Online, eLearning

Online Geometry: Rectangle, Theorems and Problems

Rectangle Index

Euclid Elements Book X, Lemma for Proposition 33

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

Eyeball Theorem: Animated Angle to Geometry Study.
Chords and Rectangle.

Eight Point Circle Theorem. Elearning

Eight-Point Circle Theorem
Step-by-Step construction, Manipulation, and animation.

Mindpoints and Rectangle

Sangaku Problem. The incenters of four triangles in a cyclic quadrilateral form a rectangle.

Cyclic Quadrilateral: Ratio of the Diagonals
The ratio of the diagonals of any cyclic quadrilateral equals the ratio of the sums of the rectangles contained by the sides that share the diagonals' end points 

Area of a square

Area of a Square Index.

Interactive Mind Map of the Van Hiele Model of Geometric Thought
Level 2. Abstraction: learners recognize relationships between types of shapes. They recognize that all squares are rectangles, but not all rectangles are squares.  

Triangle and Squares 22
Rectangles of equal area. 

Triangle and Squares 20
Rectangles of equal area. 

Parallelograms Index

Parallelograms Index.

Billiards and Geometry Index

Billiards and Geometry - Index
Billiards Table

Hippocrates and Squaring the Circle
 

Thébault's Theorem. Parallelogram with Squares theorem
 

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

Geometry problem 1318

Geometry Problem 1318.
Rectangle, Equilateral Triangle, Distances, Perpendicular, Measurement.

Geometry problem 1198

Geometry Problem 1198
Right Triangle, Square, Rectangle, Quadrilateral, Altitude, Equal Areas.

Geometry problem 1195

Geometry Problem 1195
Square, Two Rectangles, Congruence, Metric Relations.

Geometry problem 1185

Geometry Problem 1185
Similar Rectangles, Four Quadrilaterals, Sum of the Areas, Metric Relations.

Geometry problem 1144

Geometry Problem 1144.
Three Equal Squares, Diagonals, Perpendicular, 90 Degrees, Angle Bisector.

Geometry Problem 1070

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

Geometry Problem 1046

Geometry Problem 1046.
Rectangle, Circle, Circumradius, Metric Relations.

Geometry Problem 989

Geometry Problem 989.
Arbelos, Semicircles, Diameter, Perpendicular, 90 Degree, Common External Tangent, Rectangle, Midpoint of Arc.

Geometry Problem 971

Geometry Problem 971.
Equilateral Triangle, Rectangle, Common Vertex, Sum of Right Triangles Areas.

Geometry Problem 969

Geometry Problem 969.
Equilateral Triangle, Rectangle, Common Vertex, Right Triangles Areas.

Geometry Problem 968

Geometry Problem 968.
Equilateral Triangle, Rectangle, Common Vertex, Midpoint.

Geometry problem 868, Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence

Geometry Problem 868
Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence.

Rectangle, Midpoint, Concyclic points

Geometry Problem 711.
Rectangle, Midpoint, Angle, Concyclic Points, Cyclic Quadrilateral.

Geometry problem 866, Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees

Geometry Problem 866
Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees.

Three Rectangles, Centers, Angles

Geometry Problem 620
Three Rectangles, Diagonals, Centers, Angles.

Cyclic quadrilateral, Incenter, Excenter

Geometry Problem 601
Post a comment or solution
Cyclic Quadrilateral, Incenter, Excenter, Rectangle.

Pentagon, Rectangle

Problem 563.
Regular Pentagon, Center, Rectangle, Diagonals, Angle.

Rectangle, Midpoint, Diagonal, Angle Bisector

Problem 537.
Rectangle, Midpoints, Diagonal, Angle Bisector.

Rectangle, Isosceles Right Triangle, Square, Area

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

Proposed Problem 35.
Rectangle, Incenters and Inradii in Cyclic Quadrilateral.

Golden Rectangles Index

Golden Rectangles Index.

Polygon Classification

Polygon Classification. Interactive Mind Map.

 

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Last updated: Feb 23, 2017