Answer:
1. To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping. For any dilation the mapping will be \begin{align*}(x, y) \rightarrow (kx, ky)\end{align*}. In this Concept, the center of dilation will always be the origin, unless otherwise stated.
2. When using State Plane coordinates the scale factors, also known as the K factors, are ratios that can be used as multipliers to convert ellipsoidal lengths, also known as geodetic distances, to lengths on the map projection surface, also known as grid distances, and vice versa.
3.Similar figures have the same shape (but not necessarily the same size) and the following properties: Corresponding sides are proportional. That is, the ratios of the corresponding sides are equal. Corresponding angles are equal.
Step-by-step explanation:
I don't know if this helped but have a good day
