Question

Let t and s be transformations of the plane such that t(x, y) = (x+a, y+b)...

Let t and s be transformations of the plane such that t(x, y) = (x+a, y+b) and s(x, y) = (x+c, y+d)
where a, b, c, and d are Real numbers. Let ?(?1, ?1) and ?(?2, ?2) be any two points in the
plane. Show that (s ◦ t)(x, y) is an isometry.

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