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Two Squares and Another Square: What is that about?
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Copyright © 1996-2008 Alexander Bogomolny
Explanation
The applet suggests the following statment:
| (1) | Given two squares ABCD and A'B'C'D' and a point P, let A1 = P + AA', B1 = P + BB', C1 = P + CC', and D1 = P + DD'. Then A1B1C1D1 is a square. |
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This is problem 46a from Yaglom. One solution follows from a more general statement about two directly similar figures.
References
- I. M. Yaglom, Geometric Transformations II, MAA, 1968
Copyright © 1996-2008 Alexander Bogomolny
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