What is the image of (2, -6) after a dilation by a scale factor of 2 centered at the
origin?

To begin, it's a resizing (or more specifically, a dilation), which means all the angles are still the same, so all of the sides and such are still in proportion. because similar objects are said to have corresponding sides and angles, and the shapes follow that rule, they are similar.you could even create the same shape if you divide all of the sides of the first shape by 2 and translating it.to summarize: they contain the same angles and the proportions of the sides, so they're similar.