For which type of transformation are the image and pre-image not necessarily congruent? translation reflection dilation rotation

The correct option is 3.

Step-by-step explanation

In translation, the figure moves from one place to another without changing its shape and size. It means translation is a rigid transformation and in translation the image and pre-image are congruent.

In reflection, the figure is reflected across a line without changing its shape and size. It means reflection is a rigid transformation and in reflection the image and pre-image are congruent.

In dilation, the figure is enlarged or compressed by a scale factor without changing its shape. It means the size of image and preimage are different. After dilation image and pre-image are similar and not necessarily congruent.

Therefore the correct option is 3.

In rotation, the figure is rotated about a point without changing its shape and size. It means rotation is a rigid transformation and in rotation the image and pre-image are congruent.