The figure below shows two squares A1B1C1D1 and A2B2C2D2. If A, B,
C, and D are the midpoints of A1A2,
B1B2, C1C2, and D1D2,
respectively, prove that ABCD is a square.
![Geometry Problem 1145: Three Squares, Midpoints](p1145-three-squares-midpoint-math-problem-solving.gif)
Art of Geometry Problem 1145 using Mobile Apps
![Art of Geometry Problem 1145 using Mobile Apps](p1145-three-squares-mobile-apps-7.jpg)
Art of Geometry Problem 1145 in Motion
Click on the figure below.
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