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Let G be the group of all rigid motions of a plane and S be the set of all rectangles in the plane. Show

Let G be the group of all rigid motions of a plane and S be the set of all rectangles in the plane. Show that G acts on S. Also obtain the orbit and stabiliser of a square under this action.

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The Orbit Stabilizer Theorem Fix an action of a group G on a set X For each point x of X we have two important concepts DEFINITION The orbit of x X is the subset of X Ox g x g G X DEFINITION The stabi... blur-text-image

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