# Demonstrate, using a counter example, that the product of a pair of isometries A and B is not always commutative.

**Question description**

Demonstrate, using a counter example, that the product of a pair of isometries *A* and *B* is not always commutative (i.e., *AB* does not always equal *BA*).

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Isometries

A plane isometry refers to a linear transformation that conserves the length. Isometries include

translation, reflect...

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