1.

In the figure below ABCDEF is a regular hexagon. Prove that ACDF is rectangle.

Answer»

One angle of a regular hexagon = 120°

∠EFD = ∠EDF = 30°; ∠F = 120°

∴ ∠AFD = 90°

Similarly all the angles of ACDF is 90°

∴ ACDF is a rectangle.



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