Unleash Your Inner Mathlete with Geometry Problem 1282: Mastering Three Squares, a Common Vertex, Midpoint, Perpendicularity, and 90 Degrees!

The figure below shows three squares: ABCD, A1B1CD1, and A1B2C2D2. If M is the midpoint of BB2, prove that (1) B1M is perpendicular to DD2; (2) DD2 = 2B1M.
 
 


Geometry Problem 1282: Three Squares, Common Vertex, Midpoint, Perpendicular, 90 Degrees

Geometric Art of problem 1282: Hyperbolic Kaleidoscope using iPad Apps

Math Infographic, Geometry Problem 1282 Three Squares, Common Vertex, Midpoint, Perpendicular, 90 Degrees. Machu Picchu in the background

Background: Machu Picchu, "Lost City of the Incas"

Math Infographic, Geometry Problem 1282 Three Squares, Common Vertex, Midpoint, Perpendicular, 90 Degrees. Machu Picchu in the background

Machu Picchu called the "Lost City of the Incas" is one of the New Seven Wonders of the World and UNESCO World Heritage Site.

 

See also:

Geometry Problems
Ten problems 1281-1290
Visual Index
Open Problems
All Problems
Triangle
Square
Midpoint
Perpendicular lines
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