Question

A translation 3 units right and 2 units up will preserve of the preimage.A dilation from the origin by a factor of 4 will preserve of the preimage.

Answer 1

In general, an arbitrary translation is an isometry. This means that it will preserve both angles and lengths (the result is a congruent image).

On the other hand, when we perform a dilation, we obtain a similar image. This means that the angles will preserve, but not the side lengths.