In each case, show that T is an isometry of IR, determine whether it is a rotation

Question:

In each case, show that T is an isometry of IR", determine whether it is a rotation or a reflection, and find the angle or the fixed line. Use the dot product.
(a)
In each case, show that T is an isometry of

(b)

In each case, show that T is an isometry of

(c)

In each case, show that T is an isometry of

(d)

In each case, show that T is an isometry of

(e)

In each case, show that T is an isometry of

(f)

In each case, show that T is an isometry of
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