**3.1a Determining the image of an object under the combination of two isometric transformations**

**1.**

**Translations, reflections**and

**rotations**are

**isometric**transformations.

**2.**In an

**isometric transformation**, the

**shape**and the

**size**of the

**image**is the

**same**as the

**object**.

**3.**For two transformations,

*A*and

*B*,

**(a) Combined transformation**represents

*AB***transformation**.

*B*followed by transformation*A***(b) Combined transformation**represents

*BA***transformation**

*A*followed by transformation*B*.**(c) Combined transformation**represents

*A*^{2}=*AA***transformation**which is carried out

*A***twice**consecutively.