Students should understand that scale factor shows the multiplicative relationship between the dimensions of two figures as well as the multiplicative relationship between coordinates of corresponding points on a figure if the figures have the origin as their center of dilation. Students must understand how to express the rules for a dilation in algebraic form between two shapes on a coordinate plane.
8.3 Proportionality. The student applies mathematical process standards to use proportional relationships to describe dilations. The student is expected to:
(C) use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation